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Finding the Third Proportional to 175.75 and 238.38

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Solution

The third proportional to 175.75 and 238.38 is: 323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 238.38 = 238.38 : x
  2. Step 2: Convert to fraction form
    175.75/238.38 = 238.38/x
  3. Step 3: Cross multiply
    175.75x = 238.38 × 238.38
  4. Step 4: Simplify right side
    175.75x = 56,822.64
  5. Step 5: Solve for x
    x = 56,822.64/175.75
  6. Step 6: Final answer
    x = 323.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.