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Finding the Third Proportional to 170,200.13 and 366,658.31

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Solution

The third proportional to 170,200.13 and 366,658.31 is: 789,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,200.13 : 366,658.31 = 366,658.31 : x
  2. Step 2: Convert to fraction form
    170,200.13/366,658.31 = 366,658.31/x
  3. Step 3: Cross multiply
    170,200.13x = 366,658.31 × 366,658.31
  4. Step 4: Simplify right side
    170,200.13x = 134,438,318,125.35
  5. Step 5: Solve for x
    x = 134,438,318,125.35/170,200.13
  6. Step 6: Final answer
    x = 789,883.78

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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.