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Finding the Third Proportional to 83,344 and 179,722

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Solution

The third proportional to 83,344 and 179,722 is: 387,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,344 : 179,722 = 179,722 : x
  2. Step 2: Convert to fraction form
    83,344/179,722 = 179,722/x
  3. Step 3: Cross multiply
    83,344x = 179,722 × 179,722
  4. Step 4: Simplify right side
    83,344x = 32,299,997,284
  5. Step 5: Solve for x
    x = 32,299,997,284/83,344
  6. Step 6: Final answer
    x = 387,550.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.