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Finding the Third Proportional to 213.89 and 320.84

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Solution

The third proportional to 213.89 and 320.84 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 320.84 = 320.84 : x
  2. Step 2: Convert to fraction form
    213.89/320.84 = 320.84/x
  3. Step 3: Cross multiply
    213.89x = 320.84 × 320.84
  4. Step 4: Simplify right side
    213.89x = 102,935.70
  5. Step 5: Solve for x
    x = 102,935.70/213.89
  6. Step 6: Final answer
    x = 481.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.