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Finding the Third Proportional to 150,436 and 324,380

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Solution

The third proportional to 150,436 and 324,380 is: 699,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,436 : 324,380 = 324,380 : x
  2. Step 2: Convert to fraction form
    150,436/324,380 = 324,380/x
  3. Step 3: Cross multiply
    150,436x = 324,380 × 324,380
  4. Step 4: Simplify right side
    150,436x = 105,222,384,400
  5. Step 5: Solve for x
    x = 105,222,384,400/150,436
  6. Step 6: Final answer
    x = 699,449.50

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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.