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Finding the Third Proportional to 149,640.75 and 332,498.25

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Solution

The third proportional to 149,640.75 and 332,498.25 is: 738,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,640.75 : 332,498.25 = 332,498.25 : x
  2. Step 2: Convert to fraction form
    149,640.75/332,498.25 = 332,498.25/x
  3. Step 3: Cross multiply
    149,640.75x = 332,498.25 × 332,498.25
  4. Step 4: Simplify right side
    149,640.75x = 110,555,086,253.06
  5. Step 5: Solve for x
    x = 110,555,086,253.06/149,640.75
  6. Step 6: Final answer
    x = 738,803.34

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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.