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Finding the Third Proportional to 133,866 and 291,059

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Solution

The third proportional to 133,866 and 291,059 is: 632,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866 : 291,059 = 291,059 : x
  2. Step 2: Convert to fraction form
    133,866/291,059 = 291,059/x
  3. Step 3: Cross multiply
    133,866x = 291,059 × 291,059
  4. Step 4: Simplify right side
    133,866x = 84,715,341,481
  5. Step 5: Solve for x
    x = 84,715,341,481/133,866
  6. Step 6: Final answer
    x = 632,836.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.