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Finding the Third Proportional to 150,682 and 331,497

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Solution

The third proportional to 150,682 and 331,497 is: 729,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682 : 331,497 = 331,497 : x
  2. Step 2: Convert to fraction form
    150,682/331,497 = 331,497/x
  3. Step 3: Cross multiply
    150,682x = 331,497 × 331,497
  4. Step 4: Simplify right side
    150,682x = 109,890,261,009
  5. Step 5: Solve for x
    x = 109,890,261,009/150,682
  6. Step 6: Final answer
    x = 729,285.92

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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.