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Finding the Third Proportional to 252.88 and 375.38

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Solution

The third proportional to 252.88 and 375.38 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 375.38 = 375.38 : x
  2. Step 2: Convert to fraction form
    252.88/375.38 = 375.38/x
  3. Step 3: Cross multiply
    252.88x = 375.38 × 375.38
  4. Step 4: Simplify right side
    252.88x = 140,906.39
  5. Step 5: Solve for x
    x = 140,906.39/252.88
  6. Step 6: Final answer
    x = 557.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.