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Finding the Third Proportional to 194,067 and 294,601

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Solution

The third proportional to 194,067 and 294,601 is: 447,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,067 : 294,601 = 294,601 : x
  2. Step 2: Convert to fraction form
    194,067/294,601 = 294,601/x
  3. Step 3: Cross multiply
    194,067x = 294,601 × 294,601
  4. Step 4: Simplify right side
    194,067x = 86,789,749,201
  5. Step 5: Solve for x
    x = 86,789,749,201/194,067
  6. Step 6: Final answer
    x = 447,215.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.