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Finding the Third Proportional to 80,710 and 164,698

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Solution

The third proportional to 80,710 and 164,698 is: 336,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,710 : 164,698 = 164,698 : x
  2. Step 2: Convert to fraction form
    80,710/164,698 = 164,698/x
  3. Step 3: Cross multiply
    80,710x = 164,698 × 164,698
  4. Step 4: Simplify right side
    80,710x = 27,125,431,204
  5. Step 5: Solve for x
    x = 27,125,431,204/80,710
  6. Step 6: Final answer
    x = 336,085.13

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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.