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Finding the Third Proportional to 110.44 and 205.38

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Solution

The third proportional to 110.44 and 205.38 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 205.38 = 205.38 : x
  2. Step 2: Convert to fraction form
    110.44/205.38 = 205.38/x
  3. Step 3: Cross multiply
    110.44x = 205.38 × 205.38
  4. Step 4: Simplify right side
    110.44x = 42,178.89
  5. Step 5: Solve for x
    x = 42,178.89/110.44
  6. Step 6: Final answer
    x = 381.93

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.