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Finding the Third Proportional to 144.28 and 197.12

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Solution

The third proportional to 144.28 and 197.12 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 197.12 = 197.12 : x
  2. Step 2: Convert to fraction form
    144.28/197.12 = 197.12/x
  3. Step 3: Cross multiply
    144.28x = 197.12 × 197.12
  4. Step 4: Simplify right side
    144.28x = 38,856.73
  5. Step 5: Solve for x
    x = 38,856.73/144.28
  6. Step 6: Final answer
    x = 269.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.