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Finding the Third Proportional to 174.97 and 262.46

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Solution

The third proportional to 174.97 and 262.46 is: 393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.97 : 262.46 = 262.46 : x
  2. Step 2: Convert to fraction form
    174.97/262.46 = 262.46/x
  3. Step 3: Cross multiply
    174.97x = 262.46 × 262.46
  4. Step 4: Simplify right side
    174.97x = 68,884.72
  5. Step 5: Solve for x
    x = 68,884.72/174.97
  6. Step 6: Final answer
    x = 393.69

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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.