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Finding the Third Proportional to 252.42 and 399.87

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Solution

The third proportional to 252.42 and 399.87 is: 633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 399.87 = 399.87 : x
  2. Step 2: Convert to fraction form
    252.42/399.87 = 399.87/x
  3. Step 3: Cross multiply
    252.42x = 399.87 × 399.87
  4. Step 4: Simplify right side
    252.42x = 159,893.77
  5. Step 5: Solve for x
    x = 159,893.77/252.42
  6. Step 6: Final answer
    x = 633.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.