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Finding the Third Proportional to 221.91 and 515.81

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Solution

The third proportional to 221.91 and 515.81 is: 1,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.91 : 515.81 = 515.81 : x
  2. Step 2: Convert to fraction form
    221.91/515.81 = 515.81/x
  3. Step 3: Cross multiply
    221.91x = 515.81 × 515.81
  4. Step 4: Simplify right side
    221.91x = 266,062.54
  5. Step 5: Solve for x
    x = 266,062.54/221.91
  6. Step 6: Final answer
    x = 1,198.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.