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Finding the Third Proportional to 126,827 and 299,934

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Solution

The third proportional to 126,827 and 299,934 is: 709,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,827 : 299,934 = 299,934 : x
  2. Step 2: Convert to fraction form
    126,827/299,934 = 299,934/x
  3. Step 3: Cross multiply
    126,827x = 299,934 × 299,934
  4. Step 4: Simplify right side
    126,827x = 89,960,404,356
  5. Step 5: Solve for x
    x = 89,960,404,356/126,827
  6. Step 6: Final answer
    x = 709,315.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.