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Finding the Third Proportional to 104.73 and 244.27

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Solution

The third proportional to 104.73 and 244.27 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 244.27 = 244.27 : x
  2. Step 2: Convert to fraction form
    104.73/244.27 = 244.27/x
  3. Step 3: Cross multiply
    104.73x = 244.27 × 244.27
  4. Step 4: Simplify right side
    104.73x = 59,665.70
  5. Step 5: Solve for x
    x = 59,665.70/104.73
  6. Step 6: Final answer
    x = 569.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.