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Finding the Third Proportional to 83,768 and 182,598

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Solution

The third proportional to 83,768 and 182,598 is: 398,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768 : 182,598 = 182,598 : x
  2. Step 2: Convert to fraction form
    83,768/182,598 = 182,598/x
  3. Step 3: Cross multiply
    83,768x = 182,598 × 182,598
  4. Step 4: Simplify right side
    83,768x = 33,342,029,604
  5. Step 5: Solve for x
    x = 33,342,029,604/83,768
  6. Step 6: Final answer
    x = 398,028.24

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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.