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Finding the Third Proportional to 325 and 416

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Solution

The third proportional to 325 and 416 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325 : 416 = 416 : x
  2. Step 2: Convert to fraction form
    325/416 = 416/x
  3. Step 3: Cross multiply
    325x = 416 × 416
  4. Step 4: Simplify right side
    325x = 173,056
  5. Step 5: Solve for x
    x = 173,056/325
  6. Step 6: Final answer
    x = 532.48

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.