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Finding the Third Proportional to 83,924 and 182,604

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Solution

The third proportional to 83,924 and 182,604 is: 397,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924 : 182,604 = 182,604 : x
  2. Step 2: Convert to fraction form
    83,924/182,604 = 182,604/x
  3. Step 3: Cross multiply
    83,924x = 182,604 × 182,604
  4. Step 4: Simplify right side
    83,924x = 33,344,220,816
  5. Step 5: Solve for x
    x = 33,344,220,816/83,924
  6. Step 6: Final answer
    x = 397,314.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.