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Finding the Third Proportional to 126,934 and 300,728

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Solution

The third proportional to 126,934 and 300,728 is: 712,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,934 : 300,728 = 300,728 : x
  2. Step 2: Convert to fraction form
    126,934/300,728 = 300,728/x
  3. Step 3: Cross multiply
    126,934x = 300,728 × 300,728
  4. Step 4: Simplify right side
    126,934x = 90,437,329,984
  5. Step 5: Solve for x
    x = 90,437,329,984/126,934
  6. Step 6: Final answer
    x = 712,475.22

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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.