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Finding the Third Proportional to 174.25 and 261.38

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Solution

The third proportional to 174.25 and 261.38 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.25 : 261.38 = 261.38 : x
  2. Step 2: Convert to fraction form
    174.25/261.38 = 261.38/x
  3. Step 3: Cross multiply
    174.25x = 261.38 × 261.38
  4. Step 4: Simplify right side
    174.25x = 68,316.89
  5. Step 5: Solve for x
    x = 68,316.89/174.25
  6. Step 6: Final answer
    x = 392.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.