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Finding the Third Proportional to 150,360 and 331,824

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Solution

The third proportional to 150,360 and 331,824 is: 732,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,360 : 331,824 = 331,824 : x
  2. Step 2: Convert to fraction form
    150,360/331,824 = 331,824/x
  3. Step 3: Cross multiply
    150,360x = 331,824 × 331,824
  4. Step 4: Simplify right side
    150,360x = 110,107,166,976
  5. Step 5: Solve for x
    x = 110,107,166,976/150,360
  6. Step 6: Final answer
    x = 732,290.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.