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Finding the Third Proportional to 166,822 and 367,704

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Solution

The third proportional to 166,822 and 367,704 is: 810,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,822 : 367,704 = 367,704 : x
  2. Step 2: Convert to fraction form
    166,822/367,704 = 367,704/x
  3. Step 3: Cross multiply
    166,822x = 367,704 × 367,704
  4. Step 4: Simplify right side
    166,822x = 135,206,231,616
  5. Step 5: Solve for x
    x = 135,206,231,616/166,822
  6. Step 6: Final answer
    x = 810,482.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.