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Finding the Third Proportional to 132,195 and 257,748

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Solution

The third proportional to 132,195 and 257,748 is: 502,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,195 : 257,748 = 257,748 : x
  2. Step 2: Convert to fraction form
    132,195/257,748 = 257,748/x
  3. Step 3: Cross multiply
    132,195x = 257,748 × 257,748
  4. Step 4: Simplify right side
    132,195x = 66,434,031,504
  5. Step 5: Solve for x
    x = 66,434,031,504/132,195
  6. Step 6: Final answer
    x = 502,545.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.