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Finding the Third Proportional to 171,792 and 259,571.25

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Solution

The third proportional to 171,792 and 259,571.25 is: 392,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,792 : 259,571.25 = 259,571.25 : x
  2. Step 2: Convert to fraction form
    171,792/259,571.25 = 259,571.25/x
  3. Step 3: Cross multiply
    171,792x = 259,571.25 × 259,571.25
  4. Step 4: Simplify right side
    171,792x = 67,377,233,826.56
  5. Step 5: Solve for x
    x = 67,377,233,826.56/171,792
  6. Step 6: Final answer
    x = 392,202.39

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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.