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Finding the Third Proportional to 251.54 and 394.40

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Solution

The third proportional to 251.54 and 394.40 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.54 : 394.40 = 394.40 : x
  2. Step 2: Convert to fraction form
    251.54/394.40 = 394.40/x
  3. Step 3: Cross multiply
    251.54x = 394.40 × 394.40
  4. Step 4: Simplify right side
    251.54x = 155,551.67
  5. Step 5: Solve for x
    x = 155,551.67/251.54
  6. Step 6: Final answer
    x = 618.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.