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Finding the Third Proportional to 178,571.25 and 269,679.38

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Solution

The third proportional to 178,571.25 and 269,679.38 is: 407,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,571.25 : 269,679.38 = 269,679.38 : x
  2. Step 2: Convert to fraction form
    178,571.25/269,679.38 = 269,679.38/x
  3. Step 3: Cross multiply
    178,571.25x = 269,679.38 × 269,679.38
  4. Step 4: Simplify right side
    178,571.25x = 72,726,965,300.39
  5. Step 5: Solve for x
    x = 72,726,965,300.39/178,571.25
  6. Step 6: Final answer
    x = 407,271.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.