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Finding the Third Proportional to 104.81 and 223.97

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Solution

The third proportional to 104.81 and 223.97 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 223.97 = 223.97 : x
  2. Step 2: Convert to fraction form
    104.81/223.97 = 223.97/x
  3. Step 3: Cross multiply
    104.81x = 223.97 × 223.97
  4. Step 4: Simplify right side
    104.81x = 50,162.00
  5. Step 5: Solve for x
    x = 50,162.00/104.81
  6. Step 6: Final answer
    x = 478.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.