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Finding the Third Proportional to 150,896 and 331,912

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Solution

The third proportional to 150,896 and 331,912 is: 730,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,896 : 331,912 = 331,912 : x
  2. Step 2: Convert to fraction form
    150,896/331,912 = 331,912/x
  3. Step 3: Cross multiply
    150,896x = 331,912 × 331,912
  4. Step 4: Simplify right side
    150,896x = 110,165,575,744
  5. Step 5: Solve for x
    x = 110,165,575,744/150,896
  6. Step 6: Final answer
    x = 730,076.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.