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Finding the Third Proportional to 150,518 and 331,753

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Solution

The third proportional to 150,518 and 331,753 is: 731,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,518 : 331,753 = 331,753 : x
  2. Step 2: Convert to fraction form
    150,518/331,753 = 331,753/x
  3. Step 3: Cross multiply
    150,518x = 331,753 × 331,753
  4. Step 4: Simplify right side
    150,518x = 110,060,053,009
  5. Step 5: Solve for x
    x = 110,060,053,009/150,518
  6. Step 6: Final answer
    x = 731,208.58

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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.