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Finding the Third Proportional to 132,022 and 283,945

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Solution

The third proportional to 132,022 and 283,945 is: 610,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022 : 283,945 = 283,945 : x
  2. Step 2: Convert to fraction form
    132,022/283,945 = 283,945/x
  3. Step 3: Cross multiply
    132,022x = 283,945 × 283,945
  4. Step 4: Simplify right side
    132,022x = 80,624,763,025
  5. Step 5: Solve for x
    x = 80,624,763,025/132,022
  6. Step 6: Final answer
    x = 610,691.88

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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.