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Finding the Third Proportional to 192,481 and 397,167

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Solution

The third proportional to 192,481 and 397,167 is: 819,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,481 : 397,167 = 397,167 : x
  2. Step 2: Convert to fraction form
    192,481/397,167 = 397,167/x
  3. Step 3: Cross multiply
    192,481x = 397,167 × 397,167
  4. Step 4: Simplify right side
    192,481x = 157,741,625,889
  5. Step 5: Solve for x
    x = 157,741,625,889/192,481
  6. Step 6: Final answer
    x = 819,517.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.