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Finding the Third Proportional to 104,678 and 226,908

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Solution

The third proportional to 104,678 and 226,908 is: 491,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,678 : 226,908 = 226,908 : x
  2. Step 2: Convert to fraction form
    104,678/226,908 = 226,908/x
  3. Step 3: Cross multiply
    104,678x = 226,908 × 226,908
  4. Step 4: Simplify right side
    104,678x = 51,487,240,464
  5. Step 5: Solve for x
    x = 51,487,240,464/104,678
  6. Step 6: Final answer
    x = 491,863.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.