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Finding the Third Proportional to 110.75 and 236.13

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Solution

The third proportional to 110.75 and 236.13 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 236.13 = 236.13 : x
  2. Step 2: Convert to fraction form
    110.75/236.13 = 236.13/x
  3. Step 3: Cross multiply
    110.75x = 236.13 × 236.13
  4. Step 4: Simplify right side
    110.75x = 55,755.02
  5. Step 5: Solve for x
    x = 55,755.02/110.75
  6. Step 6: Final answer
    x = 503.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.