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Finding the Third Proportional to 150,689 and 332,044

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Solution

The third proportional to 150,689 and 332,044 is: 731,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,689 : 332,044 = 332,044 : x
  2. Step 2: Convert to fraction form
    150,689/332,044 = 332,044/x
  3. Step 3: Cross multiply
    150,689x = 332,044 × 332,044
  4. Step 4: Simplify right side
    150,689x = 110,253,217,936
  5. Step 5: Solve for x
    x = 110,253,217,936/150,689
  6. Step 6: Final answer
    x = 731,660.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.