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Finding the Third Proportional to 213.94 and 323.06

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Solution

The third proportional to 213.94 and 323.06 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 323.06 = 323.06 : x
  2. Step 2: Convert to fraction form
    213.94/323.06 = 323.06/x
  3. Step 3: Cross multiply
    213.94x = 323.06 × 323.06
  4. Step 4: Simplify right side
    213.94x = 104,369.38
  5. Step 5: Solve for x
    x = 104,369.38/213.94
  6. Step 6: Final answer
    x = 487.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.