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Finding the Third Proportional to 208,067 and 272,041

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Solution

The third proportional to 208,067 and 272,041 is: 355,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067 : 272,041 = 272,041 : x
  2. Step 2: Convert to fraction form
    208,067/272,041 = 272,041/x
  3. Step 3: Cross multiply
    208,067x = 272,041 × 272,041
  4. Step 4: Simplify right side
    208,067x = 74,006,305,681
  5. Step 5: Solve for x
    x = 74,006,305,681/208,067
  6. Step 6: Final answer
    x = 355,684.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.