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Finding the Third Proportional to 110.86 and 243.52

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Solution

The third proportional to 110.86 and 243.52 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.86 : 243.52 = 243.52 : x
  2. Step 2: Convert to fraction form
    110.86/243.52 = 243.52/x
  3. Step 3: Cross multiply
    110.86x = 243.52 × 243.52
  4. Step 4: Simplify right side
    110.86x = 59,299.86
  5. Step 5: Solve for x
    x = 59,299.86/110.86
  6. Step 6: Final answer
    x = 534.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.