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Finding the Third Proportional to 156,067 and 336,717

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Solution

The third proportional to 156,067 and 336,717 is: 726,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,067 : 336,717 = 336,717 : x
  2. Step 2: Convert to fraction form
    156,067/336,717 = 336,717/x
  3. Step 3: Cross multiply
    156,067x = 336,717 × 336,717
  4. Step 4: Simplify right side
    156,067x = 113,378,338,089
  5. Step 5: Solve for x
    x = 113,378,338,089/156,067
  6. Step 6: Final answer
    x = 726,472.21

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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.