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Finding the Third Proportional to 92,532 and 198,204

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Solution

The third proportional to 92,532 and 198,204 is: 424,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,532 : 198,204 = 198,204 : x
  2. Step 2: Convert to fraction form
    92,532/198,204 = 198,204/x
  3. Step 3: Cross multiply
    92,532x = 198,204 × 198,204
  4. Step 4: Simplify right side
    92,532x = 39,284,825,616
  5. Step 5: Solve for x
    x = 39,284,825,616/92,532
  6. Step 6: Final answer
    x = 424,553.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.