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Finding the Third Proportional to 208,744 and 279,632

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Solution

The third proportional to 208,744 and 279,632 is: 374,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744 : 279,632 = 279,632 : x
  2. Step 2: Convert to fraction form
    208,744/279,632 = 279,632/x
  3. Step 3: Cross multiply
    208,744x = 279,632 × 279,632
  4. Step 4: Simplify right side
    208,744x = 78,194,055,424
  5. Step 5: Solve for x
    x = 78,194,055,424/208,744
  6. Step 6: Final answer
    x = 374,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.