Finding the Third Proportional to 208,064.25 and 314,283.75
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Solution
The third proportional to 208,064.25 and 314,283.75 is: 474,729.68
Step by Step Solution
- Step 1: Write the proportion equation
208,064.25 : 314,283.75 = 314,283.75 : x - Step 2: Convert to fraction form
208,064.25/314,283.75 = 314,283.75/x - Step 3: Cross multiply
208,064.25x = 314,283.75 × 314,283.75 - Step 4: Simplify right side
208,064.25x = 98,774,275,514.06 - Step 5: Solve for x
x = 98,774,275,514.06/208,064.25 - Step 6: Final answer
x = 474,729.68
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.