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Finding the Third Proportional to 150,601 and 324,529

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Solution

The third proportional to 150,601 and 324,529 is: 699,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,601 : 324,529 = 324,529 : x
  2. Step 2: Convert to fraction form
    150,601/324,529 = 324,529/x
  3. Step 3: Cross multiply
    150,601x = 324,529 × 324,529
  4. Step 4: Simplify right side
    150,601x = 105,319,071,841
  5. Step 5: Solve for x
    x = 105,319,071,841/150,601
  6. Step 6: Final answer
    x = 699,325.18

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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.