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Finding the Third Proportional to 213.75 and 319.22

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Solution

The third proportional to 213.75 and 319.22 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 319.22 = 319.22 : x
  2. Step 2: Convert to fraction form
    213.75/319.22 = 319.22/x
  3. Step 3: Cross multiply
    213.75x = 319.22 × 319.22
  4. Step 4: Simplify right side
    213.75x = 101,900.61
  5. Step 5: Solve for x
    x = 101,900.61/213.75
  6. Step 6: Final answer
    x = 476.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.