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Finding the Third Proportional to 169,359.75 and 261,629.25

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Solution

The third proportional to 169,359.75 and 261,629.25 is: 404,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,359.75 : 261,629.25 = 261,629.25 : x
  2. Step 2: Convert to fraction form
    169,359.75/261,629.25 = 261,629.25/x
  3. Step 3: Cross multiply
    169,359.75x = 261,629.25 × 261,629.25
  4. Step 4: Simplify right side
    169,359.75x = 68,449,864,455.56
  5. Step 5: Solve for x
    x = 68,449,864,455.56/169,359.75
  6. Step 6: Final answer
    x = 404,168.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.