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Finding the Third Proportional to 92,349 and 198,489

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Solution

The third proportional to 92,349 and 198,489 is: 426,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,349 : 198,489 = 198,489 : x
  2. Step 2: Convert to fraction form
    92,349/198,489 = 198,489/x
  3. Step 3: Cross multiply
    92,349x = 198,489 × 198,489
  4. Step 4: Simplify right side
    92,349x = 39,397,883,121
  5. Step 5: Solve for x
    x = 39,397,883,121/92,349
  6. Step 6: Final answer
    x = 426,619.49

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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.