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Finding the Third Proportional to 80,698 and 164,677

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Solution

The third proportional to 80,698 and 164,677 is: 336,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,698 : 164,677 = 164,677 : x
  2. Step 2: Convert to fraction form
    80,698/164,677 = 164,677/x
  3. Step 3: Cross multiply
    80,698x = 164,677 × 164,677
  4. Step 4: Simplify right side
    80,698x = 27,118,514,329
  5. Step 5: Solve for x
    x = 27,118,514,329/80,698
  6. Step 6: Final answer
    x = 336,049.40

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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.