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Finding the Third Proportional to 150,328 and 323,912

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Solution

The third proportional to 150,328 and 323,912 is: 697,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,328 : 323,912 = 323,912 : x
  2. Step 2: Convert to fraction form
    150,328/323,912 = 323,912/x
  3. Step 3: Cross multiply
    150,328x = 323,912 × 323,912
  4. Step 4: Simplify right side
    150,328x = 104,918,983,744
  5. Step 5: Solve for x
    x = 104,918,983,744/150,328
  6. Step 6: Final answer
    x = 697,933.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.