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Finding the Third Proportional to 168,922 and 367,246

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Solution

The third proportional to 168,922 and 367,246 is: 798,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,922 : 367,246 = 367,246 : x
  2. Step 2: Convert to fraction form
    168,922/367,246 = 367,246/x
  3. Step 3: Cross multiply
    168,922x = 367,246 × 367,246
  4. Step 4: Simplify right side
    168,922x = 134,869,624,516
  5. Step 5: Solve for x
    x = 134,869,624,516/168,922
  6. Step 6: Final answer
    x = 798,413.61

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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.