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Finding the Third Proportional to 226,143 and 332,469

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Solution

The third proportional to 226,143 and 332,469 is: 488,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,143 : 332,469 = 332,469 : x
  2. Step 2: Convert to fraction form
    226,143/332,469 = 332,469/x
  3. Step 3: Cross multiply
    226,143x = 332,469 × 332,469
  4. Step 4: Simplify right side
    226,143x = 110,535,635,961
  5. Step 5: Solve for x
    x = 110,535,635,961/226,143
  6. Step 6: Final answer
    x = 488,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.