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Finding the Third Proportional to 381.75 and 851.25

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Solution

The third proportional to 381.75 and 851.25 is: 1,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 851.25 = 851.25 : x
  2. Step 2: Convert to fraction form
    381.75/851.25 = 851.25/x
  3. Step 3: Cross multiply
    381.75x = 851.25 × 851.25
  4. Step 4: Simplify right side
    381.75x = 724,626.56
  5. Step 5: Solve for x
    x = 724,626.56/381.75
  6. Step 6: Final answer
    x = 1,898.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.