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Finding the Third Proportional to 185,109 and 250,839

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Solution

The third proportional to 185,109 and 250,839 is: 339,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109 : 250,839 = 250,839 : x
  2. Step 2: Convert to fraction form
    185,109/250,839 = 250,839/x
  3. Step 3: Cross multiply
    185,109x = 250,839 × 250,839
  4. Step 4: Simplify right side
    185,109x = 62,920,203,921
  5. Step 5: Solve for x
    x = 62,920,203,921/185,109
  6. Step 6: Final answer
    x = 339,908.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.