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Finding the Third Proportional to 148,552.50 and 219,552.75

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Solution

The third proportional to 148,552.50 and 219,552.75 is: 324,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,552.50 : 219,552.75 = 219,552.75 : x
  2. Step 2: Convert to fraction form
    148,552.50/219,552.75 = 219,552.75/x
  3. Step 3: Cross multiply
    148,552.50x = 219,552.75 × 219,552.75
  4. Step 4: Simplify right side
    148,552.50x = 48,203,410,032.56
  5. Step 5: Solve for x
    x = 48,203,410,032.56/148,552.50
  6. Step 6: Final answer
    x = 324,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.