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Finding the Third Proportional to 76,344.19 and 166,240.69

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Solution

The third proportional to 76,344.19 and 166,240.69 is: 361,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344.19 : 166,240.69 = 166,240.69 : x
  2. Step 2: Convert to fraction form
    76,344.19/166,240.69 = 166,240.69/x
  3. Step 3: Cross multiply
    76,344.19x = 166,240.69 × 166,240.69
  4. Step 4: Simplify right side
    76,344.19x = 27,635,966,180.47
  5. Step 5: Solve for x
    x = 27,635,966,180.47/76,344.19
  6. Step 6: Final answer
    x = 361,991.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.