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Finding the Third Proportional to 314 and 408.75

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Solution

The third proportional to 314 and 408.75 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 408.75 = 408.75 : x
  2. Step 2: Convert to fraction form
    314/408.75 = 408.75/x
  3. Step 3: Cross multiply
    314x = 408.75 × 408.75
  4. Step 4: Simplify right side
    314x = 167,076.56
  5. Step 5: Solve for x
    x = 167,076.56/314
  6. Step 6: Final answer
    x = 532.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.