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Finding the Third Proportional to 179,970.19 and 269,679.38

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Solution

The third proportional to 179,970.19 and 269,679.38 is: 404,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,970.19 : 269,679.38 = 269,679.38 : x
  2. Step 2: Convert to fraction form
    179,970.19/269,679.38 = 269,679.38/x
  3. Step 3: Cross multiply
    179,970.19x = 269,679.38 × 269,679.38
  4. Step 4: Simplify right side
    179,970.19x = 72,726,965,300.39
  5. Step 5: Solve for x
    x = 72,726,965,300.39/179,970.19
  6. Step 6: Final answer
    x = 404,105.63

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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.