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Finding the Third Proportional to 80,708 and 164,694

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Solution

The third proportional to 80,708 and 164,694 is: 336,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,708 : 164,694 = 164,694 : x
  2. Step 2: Convert to fraction form
    80,708/164,694 = 164,694/x
  3. Step 3: Cross multiply
    80,708x = 164,694 × 164,694
  4. Step 4: Simplify right side
    80,708x = 27,124,113,636
  5. Step 5: Solve for x
    x = 27,124,113,636/80,708
  6. Step 6: Final answer
    x = 336,077.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.