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Finding the Third Proportional to 200,939.25 and 280,942.88

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Solution

The third proportional to 200,939.25 and 280,942.88 is: 392,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,939.25 : 280,942.88 = 280,942.88 : x
  2. Step 2: Convert to fraction form
    200,939.25/280,942.88 = 280,942.88/x
  3. Step 3: Cross multiply
    200,939.25x = 280,942.88 × 280,942.88
  4. Step 4: Simplify right side
    200,939.25x = 78,928,899,013.27
  5. Step 5: Solve for x
    x = 78,928,899,013.27/200,939.25
  6. Step 6: Final answer
    x = 392,799.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.