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Finding the Third Proportional to 149,880 and 313,616

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Solution

The third proportional to 149,880 and 313,616 is: 656,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880 : 313,616 = 313,616 : x
  2. Step 2: Convert to fraction form
    149,880/313,616 = 313,616/x
  3. Step 3: Cross multiply
    149,880x = 313,616 × 313,616
  4. Step 4: Simplify right side
    149,880x = 98,354,995,456
  5. Step 5: Solve for x
    x = 98,354,995,456/149,880
  6. Step 6: Final answer
    x = 656,224.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.