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Finding the Third Proportional to 110.06 and 195.38

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Solution

The third proportional to 110.06 and 195.38 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 195.38 = 195.38 : x
  2. Step 2: Convert to fraction form
    110.06/195.38 = 195.38/x
  3. Step 3: Cross multiply
    110.06x = 195.38 × 195.38
  4. Step 4: Simplify right side
    110.06x = 38,171.39
  5. Step 5: Solve for x
    x = 38,171.39/110.06
  6. Step 6: Final answer
    x = 346.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.