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Finding the Third Proportional to 206,695.13 and 292,552.31

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Solution

The third proportional to 206,695.13 and 292,552.31 is: 414,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.13 : 292,552.31 = 292,552.31 : x
  2. Step 2: Convert to fraction form
    206,695.13/292,552.31 = 292,552.31/x
  3. Step 3: Cross multiply
    206,695.13x = 292,552.31 × 292,552.31
  4. Step 4: Simplify right side
    206,695.13x = 85,586,855,549.10
  5. Step 5: Solve for x
    x = 85,586,855,549.10/206,695.13
  6. Step 6: Final answer
    x = 414,072.93

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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.