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Finding the Third Proportional to 272 and 354.75

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Solution

The third proportional to 272 and 354.75 is: 462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272 : 354.75 = 354.75 : x
  2. Step 2: Convert to fraction form
    272/354.75 = 354.75/x
  3. Step 3: Cross multiply
    272x = 354.75 × 354.75
  4. Step 4: Simplify right side
    272x = 125,847.56
  5. Step 5: Solve for x
    x = 125,847.56/272
  6. Step 6: Final answer
    x = 462.67

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.