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Finding the Third Proportional to 171,667 and 373,836

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Solution

The third proportional to 171,667 and 373,836 is: 814,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,667 : 373,836 = 373,836 : x
  2. Step 2: Convert to fraction form
    171,667/373,836 = 373,836/x
  3. Step 3: Cross multiply
    171,667x = 373,836 × 373,836
  4. Step 4: Simplify right side
    171,667x = 139,753,354,896
  5. Step 5: Solve for x
    x = 139,753,354,896/171,667
  6. Step 6: Final answer
    x = 814,095.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.