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Finding the Third Proportional to 149,653.13 and 332,520.75

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Solution

The third proportional to 149,653.13 and 332,520.75 is: 738,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,653.13 : 332,520.75 = 332,520.75 : x
  2. Step 2: Convert to fraction form
    149,653.13/332,520.75 = 332,520.75/x
  3. Step 3: Cross multiply
    149,653.13x = 332,520.75 × 332,520.75
  4. Step 4: Simplify right side
    149,653.13x = 110,570,049,180.56
  5. Step 5: Solve for x
    x = 110,570,049,180.56/149,653.13
  6. Step 6: Final answer
    x = 738,842.23

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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.