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Finding the Third Proportional to 354 and 408.75

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Solution

The third proportional to 354 and 408.75 is: 471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 408.75 = 408.75 : x
  2. Step 2: Convert to fraction form
    354/408.75 = 408.75/x
  3. Step 3: Cross multiply
    354x = 408.75 × 408.75
  4. Step 4: Simplify right side
    354x = 167,076.56
  5. Step 5: Solve for x
    x = 167,076.56/354
  6. Step 6: Final answer
    x = 471.97

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.