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Finding the Third Proportional to 226,003.50 and 332,201.25

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Solution

The third proportional to 226,003.50 and 332,201.25 is: 488,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,003.50 : 332,201.25 = 332,201.25 : x
  2. Step 2: Convert to fraction form
    226,003.50/332,201.25 = 332,201.25/x
  3. Step 3: Cross multiply
    226,003.50x = 332,201.25 × 332,201.25
  4. Step 4: Simplify right side
    226,003.50x = 110,357,670,501.56
  5. Step 5: Solve for x
    x = 110,357,670,501.56/226,003.50
  6. Step 6: Final answer
    x = 488,300.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.