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Finding the Third Proportional to 151,350.75 and 332,223

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Solution

The third proportional to 151,350.75 and 332,223 is: 729,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,350.75 : 332,223 = 332,223 : x
  2. Step 2: Convert to fraction form
    151,350.75/332,223 = 332,223/x
  3. Step 3: Cross multiply
    151,350.75x = 332,223 × 332,223
  4. Step 4: Simplify right side
    151,350.75x = 110,372,121,729
  5. Step 5: Solve for x
    x = 110,372,121,729/151,350.75
  6. Step 6: Final answer
    x = 729,247.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.