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Finding the Third Proportional to 149,741 and 327,616

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Solution

The third proportional to 149,741 and 327,616 is: 716,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,741 : 327,616 = 327,616 : x
  2. Step 2: Convert to fraction form
    149,741/327,616 = 327,616/x
  3. Step 3: Cross multiply
    149,741x = 327,616 × 327,616
  4. Step 4: Simplify right side
    149,741x = 107,332,243,456
  5. Step 5: Solve for x
    x = 107,332,243,456/149,741
  6. Step 6: Final answer
    x = 716,785.94

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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.