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Finding the Third Proportional to 195.75 and 234.38

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Solution

The third proportional to 195.75 and 234.38 is: 280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 234.38 = 234.38 : x
  2. Step 2: Convert to fraction form
    195.75/234.38 = 234.38/x
  3. Step 3: Cross multiply
    195.75x = 234.38 × 234.38
  4. Step 4: Simplify right side
    195.75x = 54,931.64
  5. Step 5: Solve for x
    x = 54,931.64/195.75
  6. Step 6: Final answer
    x = 280.62

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.