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Finding the Third Proportional to 122,350.50 and 226,901.25

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Solution

The third proportional to 122,350.50 and 226,901.25 is: 420,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,350.50 : 226,901.25 = 226,901.25 : x
  2. Step 2: Convert to fraction form
    122,350.50/226,901.25 = 226,901.25/x
  3. Step 3: Cross multiply
    122,350.50x = 226,901.25 × 226,901.25
  4. Step 4: Simplify right side
    122,350.50x = 51,484,177,251.56
  5. Step 5: Solve for x
    x = 51,484,177,251.56/122,350.50
  6. Step 6: Final answer
    x = 420,792.54

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.