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Finding the Third Proportional to 204,832 and 298,242

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Solution

The third proportional to 204,832 and 298,242 is: 434,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,832 : 298,242 = 298,242 : x
  2. Step 2: Convert to fraction form
    204,832/298,242 = 298,242/x
  3. Step 3: Cross multiply
    204,832x = 298,242 × 298,242
  4. Step 4: Simplify right side
    204,832x = 88,948,290,564
  5. Step 5: Solve for x
    x = 88,948,290,564/204,832
  6. Step 6: Final answer
    x = 434,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.