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Finding the Third Proportional to 252.11 and 383.66

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Solution

The third proportional to 252.11 and 383.66 is: 583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.11 : 383.66 = 383.66 : x
  2. Step 2: Convert to fraction form
    252.11/383.66 = 383.66/x
  3. Step 3: Cross multiply
    252.11x = 383.66 × 383.66
  4. Step 4: Simplify right side
    252.11x = 147,195.12
  5. Step 5: Solve for x
    x = 147,195.12/252.11
  6. Step 6: Final answer
    x = 583.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.