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Finding the Third Proportional to 168,870 and 365,850

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Solution

The third proportional to 168,870 and 365,850 is: 792,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,870 : 365,850 = 365,850 : x
  2. Step 2: Convert to fraction form
    168,870/365,850 = 365,850/x
  3. Step 3: Cross multiply
    168,870x = 365,850 × 365,850
  4. Step 4: Simplify right side
    168,870x = 133,846,222,500
  5. Step 5: Solve for x
    x = 133,846,222,500/168,870
  6. Step 6: Final answer
    x = 792,599.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.