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Finding the Third Proportional to 92,349 and 198,822

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Solution

The third proportional to 92,349 and 198,822 is: 428,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,349 : 198,822 = 198,822 : x
  2. Step 2: Convert to fraction form
    92,349/198,822 = 198,822/x
  3. Step 3: Cross multiply
    92,349x = 198,822 × 198,822
  4. Step 4: Simplify right side
    92,349x = 39,530,187,684
  5. Step 5: Solve for x
    x = 39,530,187,684/92,349
  6. Step 6: Final answer
    x = 428,052.15

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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.