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Finding the Third Proportional to 110.44 and 155.34

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Solution

The third proportional to 110.44 and 155.34 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 155.34 = 155.34 : x
  2. Step 2: Convert to fraction form
    110.44/155.34 = 155.34/x
  3. Step 3: Cross multiply
    110.44x = 155.34 × 155.34
  4. Step 4: Simplify right side
    110.44x = 24,131.68
  5. Step 5: Solve for x
    x = 24,131.68/110.44
  6. Step 6: Final answer
    x = 218.51

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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.