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Finding the Third Proportional to 144,733 and 313,616

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Solution

The third proportional to 144,733 and 313,616 is: 679,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,733 : 313,616 = 313,616 : x
  2. Step 2: Convert to fraction form
    144,733/313,616 = 313,616/x
  3. Step 3: Cross multiply
    144,733x = 313,616 × 313,616
  4. Step 4: Simplify right side
    144,733x = 98,354,995,456
  5. Step 5: Solve for x
    x = 98,354,995,456/144,733
  6. Step 6: Final answer
    x = 679,561.64

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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.