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Finding the Third Proportional to 150,637 and 324,601

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Solution

The third proportional to 150,637 and 324,601 is: 699,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,637 : 324,601 = 324,601 : x
  2. Step 2: Convert to fraction form
    150,637/324,601 = 324,601/x
  3. Step 3: Cross multiply
    150,637x = 324,601 × 324,601
  4. Step 4: Simplify right side
    150,637x = 105,365,809,201
  5. Step 5: Solve for x
    x = 105,365,809,201/150,637
  6. Step 6: Final answer
    x = 699,468.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.