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Finding the Third Proportional to 106,733.25 and 225,220.50

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Solution

The third proportional to 106,733.25 and 225,220.50 is: 475,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,733.25 : 225,220.50 = 225,220.50 : x
  2. Step 2: Convert to fraction form
    106,733.25/225,220.50 = 225,220.50/x
  3. Step 3: Cross multiply
    106,733.25x = 225,220.50 × 225,220.50
  4. Step 4: Simplify right side
    106,733.25x = 50,724,273,620.25
  5. Step 5: Solve for x
    x = 50,724,273,620.25/106,733.25
  6. Step 6: Final answer
    x = 475,243.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.