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Finding the Third Proportional to 194.25 and 252.38

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Solution

The third proportional to 194.25 and 252.38 is: 327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 252.38 = 252.38 : x
  2. Step 2: Convert to fraction form
    194.25/252.38 = 252.38/x
  3. Step 3: Cross multiply
    194.25x = 252.38 × 252.38
  4. Step 4: Simplify right side
    194.25x = 63,693.14
  5. Step 5: Solve for x
    x = 63,693.14/194.25
  6. Step 6: Final answer
    x = 327.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.