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Finding the Third Proportional to 149,183 and 324,601

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Solution

The third proportional to 149,183 and 324,601 is: 706,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,183 : 324,601 = 324,601 : x
  2. Step 2: Convert to fraction form
    149,183/324,601 = 324,601/x
  3. Step 3: Cross multiply
    149,183x = 324,601 × 324,601
  4. Step 4: Simplify right side
    149,183x = 105,365,809,201
  5. Step 5: Solve for x
    x = 105,365,809,201/149,183
  6. Step 6: Final answer
    x = 706,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.