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Finding the Third Proportional to 110.50 and 236.13

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Solution

The third proportional to 110.50 and 236.13 is: 504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 236.13 = 236.13 : x
  2. Step 2: Convert to fraction form
    110.50/236.13 = 236.13/x
  3. Step 3: Cross multiply
    110.50x = 236.13 × 236.13
  4. Step 4: Simplify right side
    110.50x = 55,755.02
  5. Step 5: Solve for x
    x = 55,755.02/110.50
  6. Step 6: Final answer
    x = 504.57

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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.