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Finding the Third Proportional to 110.23 and 237.86

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Solution

The third proportional to 110.23 and 237.86 is: 513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.23 : 237.86 = 237.86 : x
  2. Step 2: Convert to fraction form
    110.23/237.86 = 237.86/x
  3. Step 3: Cross multiply
    110.23x = 237.86 × 237.86
  4. Step 4: Simplify right side
    110.23x = 56,576.62
  5. Step 5: Solve for x
    x = 56,576.62/110.23
  6. Step 6: Final answer
    x = 513.27

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Why These Related Problems?

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