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Finding the Third Proportional to 166,448.25 and 235,519.31

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Solution

The third proportional to 166,448.25 and 235,519.31 is: 333,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,448.25 : 235,519.31 = 235,519.31 : x
  2. Step 2: Convert to fraction form
    166,448.25/235,519.31 = 235,519.31/x
  3. Step 3: Cross multiply
    166,448.25x = 235,519.31 × 235,519.31
  4. Step 4: Simplify right side
    166,448.25x = 55,469,346,560.47
  5. Step 5: Solve for x
    x = 55,469,346,560.47/166,448.25
  6. Step 6: Final answer
    x = 333,252.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.