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Finding the Third Proportional to 206,449.50 and 301,708.13

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Solution

The third proportional to 206,449.50 and 301,708.13 is: 440,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449.50 : 301,708.13 = 301,708.13 : x
  2. Step 2: Convert to fraction form
    206,449.50/301,708.13 = 301,708.13/x
  3. Step 3: Cross multiply
    206,449.50x = 301,708.13 × 301,708.13
  4. Step 4: Simplify right side
    206,449.50x = 91,027,792,691.02
  5. Step 5: Solve for x
    x = 91,027,792,691.02/206,449.50
  6. Step 6: Final answer
    x = 440,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.