Finding the Third Proportional to 209,724.19 and 314,609.06
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Solution
The third proportional to 209,724.19 and 314,609.06 is: 471,947.77
Step by Step Solution
- Step 1: Write the proportion equation
209,724.19 : 314,609.06 = 314,609.06 : x - Step 2: Convert to fraction form
209,724.19/314,609.06 = 314,609.06/x - Step 3: Cross multiply
209,724.19x = 314,609.06 × 314,609.06 - Step 4: Simplify right side
209,724.19x = 98,978,862,207.13 - Step 5: Solve for x
x = 98,978,862,207.13/209,724.19 - Step 6: Final answer
x = 471,947.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.