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Finding the Third Proportional to 83,387 and 185,425

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Solution

The third proportional to 83,387 and 185,425 is: 412,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,387 : 185,425 = 185,425 : x
  2. Step 2: Convert to fraction form
    83,387/185,425 = 185,425/x
  3. Step 3: Cross multiply
    83,387x = 185,425 × 185,425
  4. Step 4: Simplify right side
    83,387x = 34,382,430,625
  5. Step 5: Solve for x
    x = 34,382,430,625/83,387
  6. Step 6: Final answer
    x = 412,323.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.