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Finding the Third Proportional to 175.27 and 361.92

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Solution

The third proportional to 175.27 and 361.92 is: 747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.27 : 361.92 = 361.92 : x
  2. Step 2: Convert to fraction form
    175.27/361.92 = 361.92/x
  3. Step 3: Cross multiply
    175.27x = 361.92 × 361.92
  4. Step 4: Simplify right side
    175.27x = 130,987.44
  5. Step 5: Solve for x
    x = 130,987.44/175.27
  6. Step 6: Final answer
    x = 747.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.