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Finding the Third Proportional to 246.88 and 272.38

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Solution

The third proportional to 246.88 and 272.38 is: 300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 272.38 = 272.38 : x
  2. Step 2: Convert to fraction form
    246.88/272.38 = 272.38/x
  3. Step 3: Cross multiply
    246.88x = 272.38 × 272.38
  4. Step 4: Simplify right side
    246.88x = 74,188.14
  5. Step 5: Solve for x
    x = 74,188.14/246.88
  6. Step 6: Final answer
    x = 300.51

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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.