Josh is downloading a file. The size of the file is 3,200 KB. it takes 3 minutes to download the first 1,200 KB of the file. If the file continues downloading at the same rate, how many more minutes will it take to finish downloading?

The rate of downloading is 1,200 KB / 3 minutes = <<1200/3=400>>400 KB/minute.

The remaining size of the file is 3,200 KB - 1,200 KB = <<3200-1200=2000>>2,000 KB.
Therefore, it will take 2,000 KB / 400 KB/minute = <<2000/400=5>>5 more minutes to finish downloading. Answer: \boxed{5}.