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Finding the Third Proportional to 206,524 and 301,857

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Solution

The third proportional to 206,524 and 301,857 is: 441,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,524 : 301,857 = 301,857 : x
  2. Step 2: Convert to fraction form
    206,524/301,857 = 301,857/x
  3. Step 3: Cross multiply
    206,524x = 301,857 × 301,857
  4. Step 4: Simplify right side
    206,524x = 91,117,648,449
  5. Step 5: Solve for x
    x = 91,117,648,449/206,524
  6. Step 6: Final answer
    x = 441,196.42

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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.