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Finding the Third Proportional to 110.72 and 237.56

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Solution

The third proportional to 110.72 and 237.56 is: 509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 237.56 = 237.56 : x
  2. Step 2: Convert to fraction form
    110.72/237.56 = 237.56/x
  3. Step 3: Cross multiply
    110.72x = 237.56 × 237.56
  4. Step 4: Simplify right side
    110.72x = 56,435.94
  5. Step 5: Solve for x
    x = 56,435.94/110.72
  6. Step 6: Final answer
    x = 509.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.