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Finding the Third Proportional to 204,449 and 419,099

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Solution

The third proportional to 204,449 and 419,099 is: 859,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,449 : 419,099 = 419,099 : x
  2. Step 2: Convert to fraction form
    204,449/419,099 = 419,099/x
  3. Step 3: Cross multiply
    204,449x = 419,099 × 419,099
  4. Step 4: Simplify right side
    204,449x = 175,643,971,801
  5. Step 5: Solve for x
    x = 175,643,971,801/204,449
  6. Step 6: Final answer
    x = 859,108.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.