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Finding the Third Proportional to 168,095 and 364,192

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Solution

The third proportional to 168,095 and 364,192 is: 789,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,095 : 364,192 = 364,192 : x
  2. Step 2: Convert to fraction form
    168,095/364,192 = 364,192/x
  3. Step 3: Cross multiply
    168,095x = 364,192 × 364,192
  4. Step 4: Simplify right side
    168,095x = 132,635,812,864
  5. Step 5: Solve for x
    x = 132,635,812,864/168,095
  6. Step 6: Final answer
    x = 789,052.70

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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.