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Finding the Third Proportional to 171.57 and 246.56

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Solution

The third proportional to 171.57 and 246.56 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 246.56 = 246.56 : x
  2. Step 2: Convert to fraction form
    171.57/246.56 = 246.56/x
  3. Step 3: Cross multiply
    171.57x = 246.56 × 246.56
  4. Step 4: Simplify right side
    171.57x = 60,791.62
  5. Step 5: Solve for x
    x = 60,791.62/171.57
  6. Step 6: Final answer
    x = 354.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.