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Finding the Third Proportional to 110.44 and 240.88

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Solution

The third proportional to 110.44 and 240.88 is: 525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 240.88 = 240.88 : x
  2. Step 2: Convert to fraction form
    110.44/240.88 = 240.88/x
  3. Step 3: Cross multiply
    110.44x = 240.88 × 240.88
  4. Step 4: Simplify right side
    110.44x = 58,020.77
  5. Step 5: Solve for x
    x = 58,020.77/110.44
  6. Step 6: Final answer
    x = 525.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.