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Finding the Third Proportional to 132,410 and 283,766

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Solution

The third proportional to 132,410 and 283,766 is: 608,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,410 : 283,766 = 283,766 : x
  2. Step 2: Convert to fraction form
    132,410/283,766 = 283,766/x
  3. Step 3: Cross multiply
    132,410x = 283,766 × 283,766
  4. Step 4: Simplify right side
    132,410x = 80,523,142,756
  5. Step 5: Solve for x
    x = 80,523,142,756/132,410
  6. Step 6: Final answer
    x = 608,134.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.