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Finding the Third Proportional to 179,584.59 and 269,405.37

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Solution

The third proportional to 179,584.59 and 269,405.37 is: 404,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,584.59 : 269,405.37 = 269,405.37 : x
  2. Step 2: Convert to fraction form
    179,584.59/269,405.37 = 269,405.37/x
  3. Step 3: Cross multiply
    179,584.59x = 269,405.37 × 269,405.37
  4. Step 4: Simplify right side
    179,584.59x = 72,579,251,869.43
  5. Step 5: Solve for x
    x = 72,579,251,869.43/179,584.59
  6. Step 6: Final answer
    x = 404,150.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.