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Finding the Third Proportional to 92,192 and 198,398

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Solution

The third proportional to 92,192 and 198,398 is: 426,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,192 : 198,398 = 198,398 : x
  2. Step 2: Convert to fraction form
    92,192/198,398 = 198,398/x
  3. Step 3: Cross multiply
    92,192x = 198,398 × 198,398
  4. Step 4: Simplify right side
    92,192x = 39,361,766,404
  5. Step 5: Solve for x
    x = 39,361,766,404/92,192
  6. Step 6: Final answer
    x = 426,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.