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Finding the Third Proportional to 198,834.75 and 301,147.88

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Solution

The third proportional to 198,834.75 and 301,147.88 is: 456,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,834.75 : 301,147.88 = 301,147.88 : x
  2. Step 2: Convert to fraction form
    198,834.75/301,147.88 = 301,147.88/x
  3. Step 3: Cross multiply
    198,834.75x = 301,147.88 × 301,147.88
  4. Step 4: Simplify right side
    198,834.75x = 90,690,042,617.02
  5. Step 5: Solve for x
    x = 90,690,042,617.02/198,834.75
  6. Step 6: Final answer
    x = 456,107.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.