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Finding the Third Proportional to 110.42 and 155.22

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Solution

The third proportional to 110.42 and 155.22 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 155.22 = 155.22 : x
  2. Step 2: Convert to fraction form
    110.42/155.22 = 155.22/x
  3. Step 3: Cross multiply
    110.42x = 155.22 × 155.22
  4. Step 4: Simplify right side
    110.42x = 24,092.86
  5. Step 5: Solve for x
    x = 24,092.86/110.42
  6. Step 6: Final answer
    x = 218.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.