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Finding the Third Proportional to 69,453 and 150,822

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Solution

The third proportional to 69,453 and 150,822 is: 327,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,453 : 150,822 = 150,822 : x
  2. Step 2: Convert to fraction form
    69,453/150,822 = 150,822/x
  3. Step 3: Cross multiply
    69,453x = 150,822 × 150,822
  4. Step 4: Simplify right side
    69,453x = 22,747,275,684
  5. Step 5: Solve for x
    x = 22,747,275,684/69,453
  6. Step 6: Final answer
    x = 327,520.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.