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Finding the Third Proportional to 212 and 381.25

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Solution

The third proportional to 212 and 381.25 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 381.25 = 381.25 : x
  2. Step 2: Convert to fraction form
    212/381.25 = 381.25/x
  3. Step 3: Cross multiply
    212x = 381.25 × 381.25
  4. Step 4: Simplify right side
    212x = 145,351.56
  5. Step 5: Solve for x
    x = 145,351.56/212
  6. Step 6: Final answer
    x = 685.62

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.