Answer:
The capital of the state of New Hampshire is the city of Concord, in Merrimack County. This city is located at coordinates 43° 13′ 57″ N 71° 33′ 41″ W, and has a population of about 45,000 inhabitants, being the third most populous city in the state after Manchester and Nashua.
In turn, the capital of the state of Pennsylvania is Harrisburg, Dauphin County. This city is located about 110 miles from Philadelphia, and has a population of about 50,000 inhabitants. Its exact location is at coordinates 40° 16′ 11″ N 76° 52′ 32″ W.
The distance between both cities is of 403 miles.