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Finding the Third Proportional to 205,204 and 442,016

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Solution

The third proportional to 205,204 and 442,016 is: 952,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,204 : 442,016 = 442,016 : x
  2. Step 2: Convert to fraction form
    205,204/442,016 = 442,016/x
  3. Step 3: Cross multiply
    205,204x = 442,016 × 442,016
  4. Step 4: Simplify right side
    205,204x = 195,378,144,256
  5. Step 5: Solve for x
    x = 195,378,144,256/205,204
  6. Step 6: Final answer
    x = 952,116.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.