Lancashire County Council has confirmed the third case of coronavirus in Chorley is linked to the two cases announced at the weekend.
The person had been in contact with an existing case, rather than through travel themselves.
This takes the total number of confirmed cases in the county to five.
Lancashire County Council confirmed the news this afternoon (March 11), as the number of UK cases of the virus rose to 456.
Lancashire County Council's Director of Public Health and Wellbeing, Dr Sakthi Karunanithi said: "Our advice remains the same. We can all still be vigilant and do the right things to help ourselves.
"Good handwashing is really important. Protect yourself and your family by washing your hands regularly and thoroughly, and if you cough, cover your mouth and nose with a tissue.
"This person's close contacts are being followed up by Public Health England. So if you have not been contacted by Public Health England, you don't need to do anything beyond following the general advice given to the public.
"We continue to work closely with colleagues in the NHS and Public Health England to do everything we can to stop the virus spreading and protect people in Lancashire."
A company in Fylde is now working with a team from Public Health England to contact any staff who may need to take further action due to a link with this latest case.
In some cases staff may need to self-isolate, while for other people the current advice is to be aware of any signs of symptoms before taking this action.
83 people tested positive for the disease in the last 24 hours, making it the biggest daily increase so far in coronavirus cases in the UK.
Across the UK, more than 27,000 people have been tested for the virus as of 9am today.
The figures show 387 of the confirmed cases are in England, 36 are in Scotland, 18 are in Northern Ireland and 15 are in Wales.
Six patients with coronavirus have died in hospitals in the UK, according to officials.
The latest person to die with the virus in the UK was a man in his early 80s in Watford who had underlying health conditions.
England’s chief medical officer, Professor Chris Whitty, said: “I am sorry to confirm a sixth patient in England who tested positive for Covid-19 has sadly died. I offer my sincere condolences to their family and friends and ask that their privacy is respected.
“The patient, who was being treated by West Hertfordshire Hospitals NHS Trust, was in their 80s and had underlying health conditions.
“It appears the virus was acquired in the UK and full contact tracing has begun.”
The NHS says that you should wash your hands with soap and water often, for a period of at least 20 seconds.
Start by applying enough soap to cover your hands, rub them together and remember to scrub the backs of your hands and in between your fingers on either hand.
The NHS says that for non-automated taps, you should use a disposable towel to turn off the tap to stop it running, instead of using your freshly cleaned hands.
You can find advice on how you can protect yourself online at www.nhs.uk/coronavirus.You can find information on the county council's coronavirus page about how to protect yourself - www.lancashire.gov.uk/health-and-social-care/your-health-and-wellbeing/coronavirus/READ MORE: Number of coronavirus cases in the UK rises to 456 - as death toll reaches 8