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Finding the Third Proportional to 182,902 and 269,436

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Solution

The third proportional to 182,902 and 269,436 is: 396,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,902 : 269,436 = 269,436 : x
  2. Step 2: Convert to fraction form
    182,902/269,436 = 269,436/x
  3. Step 3: Cross multiply
    182,902x = 269,436 × 269,436
  4. Step 4: Simplify right side
    182,902x = 72,595,758,096
  5. Step 5: Solve for x
    x = 72,595,758,096/182,902
  6. Step 6: Final answer
    x = 396,910.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.