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Finding the Third Proportional to 162,696 and 337,694

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Solution

The third proportional to 162,696 and 337,694 is: 700,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,696 : 337,694 = 337,694 : x
  2. Step 2: Convert to fraction form
    162,696/337,694 = 337,694/x
  3. Step 3: Cross multiply
    162,696x = 337,694 × 337,694
  4. Step 4: Simplify right side
    162,696x = 114,037,237,636
  5. Step 5: Solve for x
    x = 114,037,237,636/162,696
  6. Step 6: Final answer
    x = 700,922.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.