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Finding the Third Proportional to 164,952 and 367,812

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Solution

The third proportional to 164,952 and 367,812 is: 820,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,952 : 367,812 = 367,812 : x
  2. Step 2: Convert to fraction form
    164,952/367,812 = 367,812/x
  3. Step 3: Cross multiply
    164,952x = 367,812 × 367,812
  4. Step 4: Simplify right side
    164,952x = 135,285,667,344
  5. Step 5: Solve for x
    x = 135,285,667,344/164,952
  6. Step 6: Final answer
    x = 820,151.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.