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Finding the Third Proportional to 248.13 and 350.72

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Solution

The third proportional to 248.13 and 350.72 is: 495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.13 : 350.72 = 350.72 : x
  2. Step 2: Convert to fraction form
    248.13/350.72 = 350.72/x
  3. Step 3: Cross multiply
    248.13x = 350.72 × 350.72
  4. Step 4: Simplify right side
    248.13x = 123,003.64
  5. Step 5: Solve for x
    x = 123,003.64/248.13
  6. Step 6: Final answer
    x = 495.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.