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Finding the Third Proportional to 148,600.50 and 225,739

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Solution

The third proportional to 148,600.50 and 225,739 is: 342,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,600.50 : 225,739 = 225,739 : x
  2. Step 2: Convert to fraction form
    148,600.50/225,739 = 225,739/x
  3. Step 3: Cross multiply
    148,600.50x = 225,739 × 225,739
  4. Step 4: Simplify right side
    148,600.50x = 50,958,096,121
  5. Step 5: Solve for x
    x = 50,958,096,121/148,600.50
  6. Step 6: Final answer
    x = 342,920.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.