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Finding the Third Proportional to 104.41 and 226.39

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Solution

The third proportional to 104.41 and 226.39 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.41 : 226.39 = 226.39 : x
  2. Step 2: Convert to fraction form
    104.41/226.39 = 226.39/x
  3. Step 3: Cross multiply
    104.41x = 226.39 × 226.39
  4. Step 4: Simplify right side
    104.41x = 51,251.83
  5. Step 5: Solve for x
    x = 51,251.83/104.41
  6. Step 6: Final answer
    x = 490.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.