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Finding the Third Proportional to 226,952 and 329,785

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Solution

The third proportional to 226,952 and 329,785 is: 479,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,952 : 329,785 = 329,785 : x
  2. Step 2: Convert to fraction form
    226,952/329,785 = 329,785/x
  3. Step 3: Cross multiply
    226,952x = 329,785 × 329,785
  4. Step 4: Simplify right side
    226,952x = 108,758,146,225
  5. Step 5: Solve for x
    x = 108,758,146,225/226,952
  6. Step 6: Final answer
    x = 479,212.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.