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Finding the Third Proportional to 133,204 and 207,031

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Solution

The third proportional to 133,204 and 207,031 is: 321,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 207,031 = 207,031 : x
  2. Step 2: Convert to fraction form
    133,204/207,031 = 207,031/x
  3. Step 3: Cross multiply
    133,204x = 207,031 × 207,031
  4. Step 4: Simplify right side
    133,204x = 42,861,834,961
  5. Step 5: Solve for x
    x = 42,861,834,961/133,204
  6. Step 6: Final answer
    x = 321,775.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.