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Finding the Third Proportional to 131,533 and 285,199

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Solution

The third proportional to 131,533 and 285,199 is: 618,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,533 : 285,199 = 285,199 : x
  2. Step 2: Convert to fraction form
    131,533/285,199 = 285,199/x
  3. Step 3: Cross multiply
    131,533x = 285,199 × 285,199
  4. Step 4: Simplify right side
    131,533x = 81,338,469,601
  5. Step 5: Solve for x
    x = 81,338,469,601/131,533
  6. Step 6: Final answer
    x = 618,388.31

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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.