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Finding the Third Proportional to 193.97 and 271.69

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Solution

The third proportional to 193.97 and 271.69 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.97 : 271.69 = 271.69 : x
  2. Step 2: Convert to fraction form
    193.97/271.69 = 271.69/x
  3. Step 3: Cross multiply
    193.97x = 271.69 × 271.69
  4. Step 4: Simplify right side
    193.97x = 73,814.10
  5. Step 5: Solve for x
    x = 73,814.10/193.97
  6. Step 6: Final answer
    x = 380.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.