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Finding the Third Proportional to 149,653.50 and 332,522.25

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Solution

The third proportional to 149,653.50 and 332,522.25 is: 738,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,653.50 : 332,522.25 = 332,522.25 : x
  2. Step 2: Convert to fraction form
    149,653.50/332,522.25 = 332,522.25/x
  3. Step 3: Cross multiply
    149,653.50x = 332,522.25 × 332,522.25
  4. Step 4: Simplify right side
    149,653.50x = 110,571,046,745.06
  5. Step 5: Solve for x
    x = 110,571,046,745.06/149,653.50
  6. Step 6: Final answer
    x = 738,847.05

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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.