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Finding the Third Proportional to 148,891.50 and 324,027

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Solution

The third proportional to 148,891.50 and 324,027 is: 705,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,891.50 : 324,027 = 324,027 : x
  2. Step 2: Convert to fraction form
    148,891.50/324,027 = 324,027/x
  3. Step 3: Cross multiply
    148,891.50x = 324,027 × 324,027
  4. Step 4: Simplify right side
    148,891.50x = 104,993,496,729
  5. Step 5: Solve for x
    x = 104,993,496,729/148,891.50
  6. Step 6: Final answer
    x = 705,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.