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Finding the Third Proportional to 206,662.13 and 292,507.13

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Solution

The third proportional to 206,662.13 and 292,507.13 is: 414,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.13 : 292,507.13 = 292,507.13 : x
  2. Step 2: Convert to fraction form
    206,662.13/292,507.13 = 292,507.13/x
  3. Step 3: Cross multiply
    206,662.13x = 292,507.13 × 292,507.13
  4. Step 4: Simplify right side
    206,662.13x = 85,560,418,175.77
  5. Step 5: Solve for x
    x = 85,560,418,175.77/206,662.13
  6. Step 6: Final answer
    x = 414,011.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.