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Finding the Third Proportional to 150,796 and 327,824

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Solution

The third proportional to 150,796 and 327,824 is: 712,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,796 : 327,824 = 327,824 : x
  2. Step 2: Convert to fraction form
    150,796/327,824 = 327,824/x
  3. Step 3: Cross multiply
    150,796x = 327,824 × 327,824
  4. Step 4: Simplify right side
    150,796x = 107,468,574,976
  5. Step 5: Solve for x
    x = 107,468,574,976/150,796
  6. Step 6: Final answer
    x = 712,675.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.