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Finding the Third Proportional to 150,274 and 324,612

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Solution

The third proportional to 150,274 and 324,612 is: 701,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,274 : 324,612 = 324,612 : x
  2. Step 2: Convert to fraction form
    150,274/324,612 = 324,612/x
  3. Step 3: Cross multiply
    150,274x = 324,612 × 324,612
  4. Step 4: Simplify right side
    150,274x = 105,372,950,544
  5. Step 5: Solve for x
    x = 105,372,950,544/150,274
  6. Step 6: Final answer
    x = 701,205.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.