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Finding the Third Proportional to 131.38 and 175.31

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Solution

The third proportional to 131.38 and 175.31 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 175.31 = 175.31 : x
  2. Step 2: Convert to fraction form
    131.38/175.31 = 175.31/x
  3. Step 3: Cross multiply
    131.38x = 175.31 × 175.31
  4. Step 4: Simplify right side
    131.38x = 30,734.47
  5. Step 5: Solve for x
    x = 30,734.47/131.38
  6. Step 6: Final answer
    x = 233.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.