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Finding the Third Proportional to 149,651.50 and 332,518.13

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Solution

The third proportional to 149,651.50 and 332,518.13 is: 738,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651.50 : 332,518.13 = 332,518.13 : x
  2. Step 2: Convert to fraction form
    149,651.50/332,518.13 = 332,518.13/x
  3. Step 3: Cross multiply
    149,651.50x = 332,518.13 × 332,518.13
  4. Step 4: Simplify right side
    149,651.50x = 110,568,303,453.52
  5. Step 5: Solve for x
    x = 110,568,303,453.52/149,651.50
  6. Step 6: Final answer
    x = 738,838.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.