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Finding the Third Proportional to 151,738 and 332,049

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Solution

The third proportional to 151,738 and 332,049 is: 726,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,738 : 332,049 = 332,049 : x
  2. Step 2: Convert to fraction form
    151,738/332,049 = 332,049/x
  3. Step 3: Cross multiply
    151,738x = 332,049 × 332,049
  4. Step 4: Simplify right side
    151,738x = 110,256,538,401
  5. Step 5: Solve for x
    x = 110,256,538,401/151,738
  6. Step 6: Final answer
    x = 726,624.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.