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Finding the Third Proportional to 218.06 and 423.94

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Solution

The third proportional to 218.06 and 423.94 is: 824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 423.94 = 423.94 : x
  2. Step 2: Convert to fraction form
    218.06/423.94 = 423.94/x
  3. Step 3: Cross multiply
    218.06x = 423.94 × 423.94
  4. Step 4: Simplify right side
    218.06x = 179,723.00
  5. Step 5: Solve for x
    x = 179,723.00/218.06
  6. Step 6: Final answer
    x = 824.18

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.