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Finding the Third Proportional to 132,877 and 283,491

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Solution

The third proportional to 132,877 and 283,491 is: 604,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,877 : 283,491 = 283,491 : x
  2. Step 2: Convert to fraction form
    132,877/283,491 = 283,491/x
  3. Step 3: Cross multiply
    132,877x = 283,491 × 283,491
  4. Step 4: Simplify right side
    132,877x = 80,367,147,081
  5. Step 5: Solve for x
    x = 80,367,147,081/132,877
  6. Step 6: Final answer
    x = 604,823.61

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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.