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Finding the Third Proportional to 126,723 and 294,664

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Solution

The third proportional to 126,723 and 294,664 is: 685,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,723 : 294,664 = 294,664 : x
  2. Step 2: Convert to fraction form
    126,723/294,664 = 294,664/x
  3. Step 3: Cross multiply
    126,723x = 294,664 × 294,664
  4. Step 4: Simplify right side
    126,723x = 86,826,872,896
  5. Step 5: Solve for x
    x = 86,826,872,896/126,723
  6. Step 6: Final answer
    x = 685,170.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.