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Finding the Third Proportional to 144.28 and 195.84

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Solution

The third proportional to 144.28 and 195.84 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 195.84 = 195.84 : x
  2. Step 2: Convert to fraction form
    144.28/195.84 = 195.84/x
  3. Step 3: Cross multiply
    144.28x = 195.84 × 195.84
  4. Step 4: Simplify right side
    144.28x = 38,354.77
  5. Step 5: Solve for x
    x = 38,354.77/144.28
  6. Step 6: Final answer
    x = 265.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.