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Finding the Third Proportional to 126,936 and 300,733

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Solution

The third proportional to 126,936 and 300,733 is: 712,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 300,733 = 300,733 : x
  2. Step 2: Convert to fraction form
    126,936/300,733 = 300,733/x
  3. Step 3: Cross multiply
    126,936x = 300,733 × 300,733
  4. Step 4: Simplify right side
    126,936x = 90,440,337,289
  5. Step 5: Solve for x
    x = 90,440,337,289/126,936
  6. Step 6: Final answer
    x = 712,487.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.