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Finding the Third Proportional to 218.88 and 443.94

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Solution

The third proportional to 218.88 and 443.94 is: 900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 443.94 = 443.94 : x
  2. Step 2: Convert to fraction form
    218.88/443.94 = 443.94/x
  3. Step 3: Cross multiply
    218.88x = 443.94 × 443.94
  4. Step 4: Simplify right side
    218.88x = 197,080.50
  5. Step 5: Solve for x
    x = 197,080.50/218.88
  6. Step 6: Final answer
    x = 900.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.