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Finding the Third Proportional to 122,353.50 and 226,906.50

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Solution

The third proportional to 122,353.50 and 226,906.50 is: 420,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,353.50 : 226,906.50 = 226,906.50 : x
  2. Step 2: Convert to fraction form
    122,353.50/226,906.50 = 226,906.50/x
  3. Step 3: Cross multiply
    122,353.50x = 226,906.50 × 226,906.50
  4. Step 4: Simplify right side
    122,353.50x = 51,486,559,742.25
  5. Step 5: Solve for x
    x = 51,486,559,742.25/122,353.50
  6. Step 6: Final answer
    x = 420,801.69

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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.