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Finding the Third Proportional to 80,208 and 162,363

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Solution

The third proportional to 80,208 and 162,363 is: 328,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,208 : 162,363 = 162,363 : x
  2. Step 2: Convert to fraction form
    80,208/162,363 = 162,363/x
  3. Step 3: Cross multiply
    80,208x = 162,363 × 162,363
  4. Step 4: Simplify right side
    80,208x = 26,361,743,769
  5. Step 5: Solve for x
    x = 26,361,743,769/80,208
  6. Step 6: Final answer
    x = 328,667.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.