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Finding the Third Proportional to 150,439 and 320,372

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Solution

The third proportional to 150,439 and 320,372 is: 682,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,439 : 320,372 = 320,372 : x
  2. Step 2: Convert to fraction form
    150,439/320,372 = 320,372/x
  3. Step 3: Cross multiply
    150,439x = 320,372 × 320,372
  4. Step 4: Simplify right side
    150,439x = 102,638,218,384
  5. Step 5: Solve for x
    x = 102,638,218,384/150,439
  6. Step 6: Final answer
    x = 682,258.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.