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Finding the Third Proportional to 150,420 and 324,351

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Solution

The third proportional to 150,420 and 324,351 is: 699,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,420 : 324,351 = 324,351 : x
  2. Step 2: Convert to fraction form
    150,420/324,351 = 324,351/x
  3. Step 3: Cross multiply
    150,420x = 324,351 × 324,351
  4. Step 4: Simplify right side
    150,420x = 105,203,571,201
  5. Step 5: Solve for x
    x = 105,203,571,201/150,420
  6. Step 6: Final answer
    x = 699,398.82

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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.