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Finding the Third Proportional to 138,882 and 210,267

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Solution

The third proportional to 138,882 and 210,267 is: 318,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882 : 210,267 = 210,267 : x
  2. Step 2: Convert to fraction form
    138,882/210,267 = 210,267/x
  3. Step 3: Cross multiply
    138,882x = 210,267 × 210,267
  4. Step 4: Simplify right side
    138,882x = 44,212,211,289
  5. Step 5: Solve for x
    x = 44,212,211,289/138,882
  6. Step 6: Final answer
    x = 318,343.71

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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.