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Finding the Third Proportional to 197.28 and 248.38

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Solution

The third proportional to 197.28 and 248.38 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 248.38 = 248.38 : x
  2. Step 2: Convert to fraction form
    197.28/248.38 = 248.38/x
  3. Step 3: Cross multiply
    197.28x = 248.38 × 248.38
  4. Step 4: Simplify right side
    197.28x = 61,692.08
  5. Step 5: Solve for x
    x = 61,692.08/197.28
  6. Step 6: Final answer
    x = 312.71

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.