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Finding the Third Proportional to 132,518 and 200,883

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Solution

The third proportional to 132,518 and 200,883 is: 304,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,518 : 200,883 = 200,883 : x
  2. Step 2: Convert to fraction form
    132,518/200,883 = 200,883/x
  3. Step 3: Cross multiply
    132,518x = 200,883 × 200,883
  4. Step 4: Simplify right side
    132,518x = 40,353,979,689
  5. Step 5: Solve for x
    x = 40,353,979,689/132,518
  6. Step 6: Final answer
    x = 304,516.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.