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Finding the Third Proportional to 174.38 and 262.97

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Solution

The third proportional to 174.38 and 262.97 is: 396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.38 : 262.97 = 262.97 : x
  2. Step 2: Convert to fraction form
    174.38/262.97 = 262.97/x
  3. Step 3: Cross multiply
    174.38x = 262.97 × 262.97
  4. Step 4: Simplify right side
    174.38x = 69,152.56
  5. Step 5: Solve for x
    x = 69,152.56/174.38
  6. Step 6: Final answer
    x = 396.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.