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Finding the Third Proportional to 149,041 and 324,848

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Solution

The third proportional to 149,041 and 324,848 is: 708,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041 : 324,848 = 324,848 : x
  2. Step 2: Convert to fraction form
    149,041/324,848 = 324,848/x
  3. Step 3: Cross multiply
    149,041x = 324,848 × 324,848
  4. Step 4: Simplify right side
    149,041x = 105,526,223,104
  5. Step 5: Solve for x
    x = 105,526,223,104/149,041
  6. Step 6: Final answer
    x = 708,034.86

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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.