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Finding the Third Proportional to 138,601.13 and 329,553.56

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Solution

The third proportional to 138,601.13 and 329,553.56 is: 783,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 329,553.56 = 329,553.56 : x
  2. Step 2: Convert to fraction form
    138,601.13/329,553.56 = 329,553.56/x
  3. Step 3: Cross multiply
    138,601.13x = 329,553.56 × 329,553.56
  4. Step 4: Simplify right side
    138,601.13x = 108,605,550,556.44
  5. Step 5: Solve for x
    x = 108,605,550,556.44/138,601.13
  6. Step 6: Final answer
    x = 783,583.47

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.