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Finding the Third Proportional to 126,722 and 294,663

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Solution

The third proportional to 126,722 and 294,663 is: 685,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,722 : 294,663 = 294,663 : x
  2. Step 2: Convert to fraction form
    126,722/294,663 = 294,663/x
  3. Step 3: Cross multiply
    126,722x = 294,663 × 294,663
  4. Step 4: Simplify right side
    126,722x = 86,826,283,569
  5. Step 5: Solve for x
    x = 86,826,283,569/126,722
  6. Step 6: Final answer
    x = 685,171.35

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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.