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Finding the Third Proportional to 133,204 and 285,992

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Solution

The third proportional to 133,204 and 285,992 is: 614,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 285,992 = 285,992 : x
  2. Step 2: Convert to fraction form
    133,204/285,992 = 285,992/x
  3. Step 3: Cross multiply
    133,204x = 285,992 × 285,992
  4. Step 4: Simplify right side
    133,204x = 81,791,424,064
  5. Step 5: Solve for x
    x = 81,791,424,064/133,204
  6. Step 6: Final answer
    x = 614,031.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.