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Finding the Third Proportional to 171.81 and 391.56

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Solution

The third proportional to 171.81 and 391.56 is: 892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.81 : 391.56 = 391.56 : x
  2. Step 2: Convert to fraction form
    171.81/391.56 = 391.56/x
  3. Step 3: Cross multiply
    171.81x = 391.56 × 391.56
  4. Step 4: Simplify right side
    171.81x = 153,321.19
  5. Step 5: Solve for x
    x = 153,321.19/171.81
  6. Step 6: Final answer
    x = 892.38

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.