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Finding the Third Proportional to 149,626 and 327,404

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Solution

The third proportional to 149,626 and 327,404 is: 716,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,626 : 327,404 = 327,404 : x
  2. Step 2: Convert to fraction form
    149,626/327,404 = 327,404/x
  3. Step 3: Cross multiply
    149,626x = 327,404 × 327,404
  4. Step 4: Simplify right side
    149,626x = 107,193,379,216
  5. Step 5: Solve for x
    x = 107,193,379,216/149,626
  6. Step 6: Final answer
    x = 716,408.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.