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Finding the Third Proportional to 205,989.38 and 451,252.88

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Solution

The third proportional to 205,989.38 and 451,252.88 is: 988,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,989.38 : 451,252.88 = 451,252.88 : x
  2. Step 2: Convert to fraction form
    205,989.38/451,252.88 = 451,252.88/x
  3. Step 3: Cross multiply
    205,989.38x = 451,252.88 × 451,252.88
  4. Step 4: Simplify right side
    205,989.38x = 203,629,157,195.77
  5. Step 5: Solve for x
    x = 203,629,157,195.77/205,989.38
  6. Step 6: Final answer
    x = 988,542.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.