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Finding the Third Proportional to 149,888 and 324,676

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Solution

The third proportional to 149,888 and 324,676 is: 703,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888 : 324,676 = 324,676 : x
  2. Step 2: Convert to fraction form
    149,888/324,676 = 324,676/x
  3. Step 3: Cross multiply
    149,888x = 324,676 × 324,676
  4. Step 4: Simplify right side
    149,888x = 105,414,504,976
  5. Step 5: Solve for x
    x = 105,414,504,976/149,888
  6. Step 6: Final answer
    x = 703,288.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.