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Finding the Third Proportional to 382.75 and 418.75

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Solution

The third proportional to 382.75 and 418.75 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 418.75 = 418.75 : x
  2. Step 2: Convert to fraction form
    382.75/418.75 = 418.75/x
  3. Step 3: Cross multiply
    382.75x = 418.75 × 418.75
  4. Step 4: Simplify right side
    382.75x = 175,351.56
  5. Step 5: Solve for x
    x = 175,351.56/382.75
  6. Step 6: Final answer
    x = 458.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.