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Finding the Third Proportional to 150,776.44 and 313,956

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Solution

The third proportional to 150,776.44 and 313,956 is: 653,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,776.44 : 313,956 = 313,956 : x
  2. Step 2: Convert to fraction form
    150,776.44/313,956 = 313,956/x
  3. Step 3: Cross multiply
    150,776.44x = 313,956 × 313,956
  4. Step 4: Simplify right side
    150,776.44x = 98,568,369,936
  5. Step 5: Solve for x
    x = 98,568,369,936/150,776.44
  6. Step 6: Final answer
    x = 653,738.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.