As Ziggster suggested, long press the apk file from within dropbox to download. Go to your file manager and find the "Dropbox" folder. (Should be /mnt/sdcard/dropbox). You should see the downloaded .apk file there and be able to install it.
With each of those methods I still the "problem parsing the package.". Thanks for the help. This time with my Tab is my first Android experience, so I'm learning all of the ins and outs.