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Finding the Third Proportional to 192,812 and 395,018

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Solution

The third proportional to 192,812 and 395,018 is: 809,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812 : 395,018 = 395,018 : x
  2. Step 2: Convert to fraction form
    192,812/395,018 = 395,018/x
  3. Step 3: Cross multiply
    192,812x = 395,018 × 395,018
  4. Step 4: Simplify right side
    192,812x = 156,039,220,324
  5. Step 5: Solve for x
    x = 156,039,220,324/192,812
  6. Step 6: Final answer
    x = 809,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.