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Finding the Third Proportional to 192,882 and 289,134

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Solution

The third proportional to 192,882 and 289,134 is: 433,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,882 : 289,134 = 289,134 : x
  2. Step 2: Convert to fraction form
    192,882/289,134 = 289,134/x
  3. Step 3: Cross multiply
    192,882x = 289,134 × 289,134
  4. Step 4: Simplify right side
    192,882x = 83,598,469,956
  5. Step 5: Solve for x
    x = 83,598,469,956/192,882
  6. Step 6: Final answer
    x = 433,417.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.