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Finding the Third Proportional to 150,210 and 321,744

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Solution

The third proportional to 150,210 and 321,744 is: 689,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,210 : 321,744 = 321,744 : x
  2. Step 2: Convert to fraction form
    150,210/321,744 = 321,744/x
  3. Step 3: Cross multiply
    150,210x = 321,744 × 321,744
  4. Step 4: Simplify right side
    150,210x = 103,519,201,536
  5. Step 5: Solve for x
    x = 103,519,201,536/150,210
  6. Step 6: Final answer
    x = 689,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.