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Finding the Third Proportional to 204,874.31 and 417,868.88

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Solution

The third proportional to 204,874.31 and 417,868.88 is: 852,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,874.31 : 417,868.88 = 417,868.88 : x
  2. Step 2: Convert to fraction form
    204,874.31/417,868.88 = 417,868.88/x
  3. Step 3: Cross multiply
    204,874.31x = 417,868.88 × 417,868.88
  4. Step 4: Simplify right side
    204,874.31x = 174,614,396,693.77
  5. Step 5: Solve for x
    x = 174,614,396,693.77/204,874.31
  6. Step 6: Final answer
    x = 852,300.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.