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Finding the Third Proportional to 202.44 and 439.19

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Solution

The third proportional to 202.44 and 439.19 is: 952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 439.19 = 439.19 : x
  2. Step 2: Convert to fraction form
    202.44/439.19 = 439.19/x
  3. Step 3: Cross multiply
    202.44x = 439.19 × 439.19
  4. Step 4: Simplify right side
    202.44x = 192,885.66
  5. Step 5: Solve for x
    x = 192,885.66/202.44
  6. Step 6: Final answer
    x = 952.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.