The total length of the dental floss in 150 packages will be 26250 meters.
Explanation
A package of dental floss has 175 m of floss.
Suppose, the number of meters of dental floss in 150 packages is [tex]x[/tex]
So, the equation according to the ratio of "number of packages" to "dental floss" will be.....
[tex]\frac{1}{175}=\frac{150}{x}\\ \\ x= 175*150=26250[/tex]
So, the total length of the dental floss in 150 packages will be 26250 meters.