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Finding the Third Proportional to 236,794 and 333,099

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Solution

The third proportional to 236,794 and 333,099 is: 468,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,794 : 333,099 = 333,099 : x
  2. Step 2: Convert to fraction form
    236,794/333,099 = 333,099/x
  3. Step 3: Cross multiply
    236,794x = 333,099 × 333,099
  4. Step 4: Simplify right side
    236,794x = 110,954,943,801
  5. Step 5: Solve for x
    x = 110,954,943,801/236,794
  6. Step 6: Final answer
    x = 468,571.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.