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Finding the Third Proportional to 150,886 and 327,734

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Solution

The third proportional to 150,886 and 327,734 is: 711,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,886 : 327,734 = 327,734 : x
  2. Step 2: Convert to fraction form
    150,886/327,734 = 327,734/x
  3. Step 3: Cross multiply
    150,886x = 327,734 × 327,734
  4. Step 4: Simplify right side
    150,886x = 107,409,574,756
  5. Step 5: Solve for x
    x = 107,409,574,756/150,886
  6. Step 6: Final answer
    x = 711,859.12

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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.