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Finding the Third Proportional to 132,024 and 283,949

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Solution

The third proportional to 132,024 and 283,949 is: 610,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024 : 283,949 = 283,949 : x
  2. Step 2: Convert to fraction form
    132,024/283,949 = 283,949/x
  3. Step 3: Cross multiply
    132,024x = 283,949 × 283,949
  4. Step 4: Simplify right side
    132,024x = 80,627,034,601
  5. Step 5: Solve for x
    x = 80,627,034,601/132,024
  6. Step 6: Final answer
    x = 610,699.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.