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Finding the Third Proportional to 204,086 and 432,874

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Solution

The third proportional to 204,086 and 432,874 is: 918,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,086 : 432,874 = 432,874 : x
  2. Step 2: Convert to fraction form
    204,086/432,874 = 432,874/x
  3. Step 3: Cross multiply
    204,086x = 432,874 × 432,874
  4. Step 4: Simplify right side
    204,086x = 187,379,899,876
  5. Step 5: Solve for x
    x = 187,379,899,876/204,086
  6. Step 6: Final answer
    x = 918,141.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.