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Finding the Third Proportional to 150,966 and 311,652

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Solution

The third proportional to 150,966 and 311,652 is: 643,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 311,652 = 311,652 : x
  2. Step 2: Convert to fraction form
    150,966/311,652 = 311,652/x
  3. Step 3: Cross multiply
    150,966x = 311,652 × 311,652
  4. Step 4: Simplify right side
    150,966x = 97,126,969,104
  5. Step 5: Solve for x
    x = 97,126,969,104/150,966
  6. Step 6: Final answer
    x = 643,369.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.