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Finding the Third Proportional to 106,794 and 234,904

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Solution

The third proportional to 106,794 and 234,904 is: 516,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794 : 234,904 = 234,904 : x
  2. Step 2: Convert to fraction form
    106,794/234,904 = 234,904/x
  3. Step 3: Cross multiply
    106,794x = 234,904 × 234,904
  4. Step 4: Simplify right side
    106,794x = 55,179,889,216
  5. Step 5: Solve for x
    x = 55,179,889,216/106,794
  6. Step 6: Final answer
    x = 516,694.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.