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Finding the Third Proportional to 272.53 and 298.69

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Solution

The third proportional to 272.53 and 298.69 is: 327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 298.69 = 298.69 : x
  2. Step 2: Convert to fraction form
    272.53/298.69 = 298.69/x
  3. Step 3: Cross multiply
    272.53x = 298.69 × 298.69
  4. Step 4: Simplify right side
    272.53x = 89,214.22
  5. Step 5: Solve for x
    x = 89,214.22/272.53
  6. Step 6: Final answer
    x = 327.35

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.