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Finding the Third Proportional to 110.75 and 237.25

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Solution

The third proportional to 110.75 and 237.25 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 237.25 = 237.25 : x
  2. Step 2: Convert to fraction form
    110.75/237.25 = 237.25/x
  3. Step 3: Cross multiply
    110.75x = 237.25 × 237.25
  4. Step 4: Simplify right side
    110.75x = 56,287.56
  5. Step 5: Solve for x
    x = 56,287.56/110.75
  6. Step 6: Final answer
    x = 508.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.