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Finding the Third Proportional to 193.75 and 213.25

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Solution

The third proportional to 193.75 and 213.25 is: 234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 213.25 = 213.25 : x
  2. Step 2: Convert to fraction form
    193.75/213.25 = 213.25/x
  3. Step 3: Cross multiply
    193.75x = 213.25 × 213.25
  4. Step 4: Simplify right side
    193.75x = 45,475.56
  5. Step 5: Solve for x
    x = 45,475.56/193.75
  6. Step 6: Final answer
    x = 234.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.