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Finding the Third Proportional to 77.25 and 167.75

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Solution

The third proportional to 77.25 and 167.75 is: 364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 167.75 = 167.75 : x
  2. Step 2: Convert to fraction form
    77.25/167.75 = 167.75/x
  3. Step 3: Cross multiply
    77.25x = 167.75 × 167.75
  4. Step 4: Simplify right side
    77.25x = 28,140.06
  5. Step 5: Solve for x
    x = 28,140.06/77.25
  6. Step 6: Final answer
    x = 364.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.