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Finding the Third Proportional to 126,824 and 299,927

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Solution

The third proportional to 126,824 and 299,927 is: 709,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,824 : 299,927 = 299,927 : x
  2. Step 2: Convert to fraction form
    126,824/299,927 = 299,927/x
  3. Step 3: Cross multiply
    126,824x = 299,927 × 299,927
  4. Step 4: Simplify right side
    126,824x = 89,956,205,329
  5. Step 5: Solve for x
    x = 89,956,205,329/126,824
  6. Step 6: Final answer
    x = 709,299.54

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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.