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Finding the Third Proportional to 85,360 and 198,448

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Solution

The third proportional to 85,360 and 198,448 is: 461,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,360 : 198,448 = 198,448 : x
  2. Step 2: Convert to fraction form
    85,360/198,448 = 198,448/x
  3. Step 3: Cross multiply
    85,360x = 198,448 × 198,448
  4. Step 4: Simplify right side
    85,360x = 39,381,608,704
  5. Step 5: Solve for x
    x = 39,381,608,704/85,360
  6. Step 6: Final answer
    x = 461,359.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.