Finding the Third Proportional to 206,704.13 and 292,564.13
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Solution
The third proportional to 206,704.13 and 292,564.13 is: 414,088.34
Step by Step Solution
- Step 1: Write the proportion equation
206,704.13 : 292,564.13 = 292,564.13 : x - Step 2: Convert to fraction form
206,704.13/292,564.13 = 292,564.13/x - Step 3: Cross multiply
206,704.13x = 292,564.13 × 292,564.13 - Step 4: Simplify right side
206,704.13x = 85,593,767,237.02 - Step 5: Solve for x
x = 85,593,767,237.02/206,704.13 - Step 6: Final answer
x = 414,088.34
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.