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Finding the Third Proportional to 132,860 and 200,397

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Solution

The third proportional to 132,860 and 200,397 is: 302,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,860 : 200,397 = 200,397 : x
  2. Step 2: Convert to fraction form
    132,860/200,397 = 200,397/x
  3. Step 3: Cross multiply
    132,860x = 200,397 × 200,397
  4. Step 4: Simplify right side
    132,860x = 40,158,957,609
  5. Step 5: Solve for x
    x = 40,158,957,609/132,860
  6. Step 6: Final answer
    x = 302,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.