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Finding the Third Proportional to 192,167 and 409,282

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Solution

The third proportional to 192,167 and 409,282 is: 871,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,167 : 409,282 = 409,282 : x
  2. Step 2: Convert to fraction form
    192,167/409,282 = 409,282/x
  3. Step 3: Cross multiply
    192,167x = 409,282 × 409,282
  4. Step 4: Simplify right side
    192,167x = 167,511,755,524
  5. Step 5: Solve for x
    x = 167,511,755,524/192,167
  6. Step 6: Final answer
    x = 871,698.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.