Yes, the resource gets exported to the same directory on the different PC. Again, typically the location is the temp directory. The temp directory is very easy to locate on different computers (and even different operating systems), so you just set your resource to export to a location relative to temp, and it will be there when you need it.
On first run, the resource is exported to said directory. Resources in the temp directory are pretty much guaranteed to exist for as long as the game is running. Afterwards, stuff in the temp directory tends to get cleaned up (especially after a system reboot), so it will just be re-created the next time the game is run.
The temp directory is also a nice place to externally store sprites and sounds because it's not a place that a normal user will look, so it's kind of hidden. Meaning that it's unlikely for honest users to steal your sprites or sounds. Especially since they tend to disappear when the game isn't running.
Edited by IsmAvatar, 10 April 2012 - 08:15 PM.