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Finding the Third Proportional to 110.72 and 238.92

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Solution

The third proportional to 110.72 and 238.92 is: 515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 238.92 = 238.92 : x
  2. Step 2: Convert to fraction form
    110.72/238.92 = 238.92/x
  3. Step 3: Cross multiply
    110.72x = 238.92 × 238.92
  4. Step 4: Simplify right side
    110.72x = 57,083.66
  5. Step 5: Solve for x
    x = 57,083.66/110.72
  6. Step 6: Final answer
    x = 515.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.