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Finding the Third Proportional to 126,916 and 300,671

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Solution

The third proportional to 126,916 and 300,671 is: 712,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,916 : 300,671 = 300,671 : x
  2. Step 2: Convert to fraction form
    126,916/300,671 = 300,671/x
  3. Step 3: Cross multiply
    126,916x = 300,671 × 300,671
  4. Step 4: Simplify right side
    126,916x = 90,403,050,241
  5. Step 5: Solve for x
    x = 90,403,050,241/126,916
  6. Step 6: Final answer
    x = 712,306.17

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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.