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Finding the Third Proportional to 234,032 and 359,493

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Solution

The third proportional to 234,032 and 359,493 is: 552,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,032 : 359,493 = 359,493 : x
  2. Step 2: Convert to fraction form
    234,032/359,493 = 359,493/x
  3. Step 3: Cross multiply
    234,032x = 359,493 × 359,493
  4. Step 4: Simplify right side
    234,032x = 129,235,217,049
  5. Step 5: Solve for x
    x = 129,235,217,049/234,032
  6. Step 6: Final answer
    x = 552,211.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.