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Finding the Third Proportional to 132,868 and 283,474

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Solution

The third proportional to 132,868 and 283,474 is: 604,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,868 : 283,474 = 283,474 : x
  2. Step 2: Convert to fraction form
    132,868/283,474 = 283,474/x
  3. Step 3: Cross multiply
    132,868x = 283,474 × 283,474
  4. Step 4: Simplify right side
    132,868x = 80,357,508,676
  5. Step 5: Solve for x
    x = 80,357,508,676/132,868
  6. Step 6: Final answer
    x = 604,792.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.