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Finding the Third Proportional to 145,736 and 313,616

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Solution

The third proportional to 145,736 and 313,616 is: 674,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,736 : 313,616 = 313,616 : x
  2. Step 2: Convert to fraction form
    145,736/313,616 = 313,616/x
  3. Step 3: Cross multiply
    145,736x = 313,616 × 313,616
  4. Step 4: Simplify right side
    145,736x = 98,354,995,456
  5. Step 5: Solve for x
    x = 98,354,995,456/145,736
  6. Step 6: Final answer
    x = 674,884.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.