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Finding the Third Proportional to 167,822 and 355,084

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Solution

The third proportional to 167,822 and 355,084 is: 751,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,822 : 355,084 = 355,084 : x
  2. Step 2: Convert to fraction form
    167,822/355,084 = 355,084/x
  3. Step 3: Cross multiply
    167,822x = 355,084 × 355,084
  4. Step 4: Simplify right side
    167,822x = 126,084,647,056
  5. Step 5: Solve for x
    x = 126,084,647,056/167,822
  6. Step 6: Final answer
    x = 751,299.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.