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Finding the Third Proportional to 169,010.44 and 342,687.94

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Solution

The third proportional to 169,010.44 and 342,687.94 is: 694,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,010.44 : 342,687.94 = 342,687.94 : x
  2. Step 2: Convert to fraction form
    169,010.44/342,687.94 = 342,687.94/x
  3. Step 3: Cross multiply
    169,010.44x = 342,687.94 × 342,687.94
  4. Step 4: Simplify right side
    169,010.44x = 117,435,022,508.00
  5. Step 5: Solve for x
    x = 117,435,022,508.00/169,010.44
  6. Step 6: Final answer
    x = 694,838.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.