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Finding the Third Proportional to 170,193 and 366,644

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Solution

The third proportional to 170,193 and 366,644 is: 789,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,193 : 366,644 = 366,644 : x
  2. Step 2: Convert to fraction form
    170,193/366,644 = 366,644/x
  3. Step 3: Cross multiply
    170,193x = 366,644 × 366,644
  4. Step 4: Simplify right side
    170,193x = 134,427,822,736
  5. Step 5: Solve for x
    x = 134,427,822,736/170,193
  6. Step 6: Final answer
    x = 789,855.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.