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Finding the Third Proportional to 166,591.69 and 268,287.19

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Solution

The third proportional to 166,591.69 and 268,287.19 is: 432,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,591.69 : 268,287.19 = 268,287.19 : x
  2. Step 2: Convert to fraction form
    166,591.69/268,287.19 = 268,287.19/x
  3. Step 3: Cross multiply
    166,591.69x = 268,287.19 × 268,287.19
  4. Step 4: Simplify right side
    166,591.69x = 71,978,014,976.66
  5. Step 5: Solve for x
    x = 71,978,014,976.66/166,591.69
  6. Step 6: Final answer
    x = 432,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.