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Finding the Third Proportional to 272.75 and 423.25

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Solution

The third proportional to 272.75 and 423.25 is: 656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 423.25 = 423.25 : x
  2. Step 2: Convert to fraction form
    272.75/423.25 = 423.25/x
  3. Step 3: Cross multiply
    272.75x = 423.25 × 423.25
  4. Step 4: Simplify right side
    272.75x = 179,140.56
  5. Step 5: Solve for x
    x = 179,140.56/272.75
  6. Step 6: Final answer
    x = 656.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.