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Finding the Third Proportional to 174.75 and 211.31

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Solution

The third proportional to 174.75 and 211.31 is: 255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 211.31 = 211.31 : x
  2. Step 2: Convert to fraction form
    174.75/211.31 = 211.31/x
  3. Step 3: Cross multiply
    174.75x = 211.31 × 211.31
  4. Step 4: Simplify right side
    174.75x = 44,652.97
  5. Step 5: Solve for x
    x = 44,652.97/174.75
  6. Step 6: Final answer
    x = 255.52

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.