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Finding the Third Proportional to 171.09 and 375.31

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Solution

The third proportional to 171.09 and 375.31 is: 823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.09 : 375.31 = 375.31 : x
  2. Step 2: Convert to fraction form
    171.09/375.31 = 375.31/x
  3. Step 3: Cross multiply
    171.09x = 375.31 × 375.31
  4. Step 4: Simplify right side
    171.09x = 140,859.47
  5. Step 5: Solve for x
    x = 140,859.47/171.09
  6. Step 6: Final answer
    x = 823.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.