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Finding the Third Proportional to 92,342 and 198,475

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Solution

The third proportional to 92,342 and 198,475 is: 426,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,342 : 198,475 = 198,475 : x
  2. Step 2: Convert to fraction form
    92,342/198,475 = 198,475/x
  3. Step 3: Cross multiply
    92,342x = 198,475 × 198,475
  4. Step 4: Simplify right side
    92,342x = 39,392,325,625
  5. Step 5: Solve for x
    x = 39,392,325,625/92,342
  6. Step 6: Final answer
    x = 426,591.64

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