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Finding the Third Proportional to 180,954.75 and 397,600.13

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Solution

The third proportional to 180,954.75 and 397,600.13 is: 873,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,954.75 : 397,600.13 = 397,600.13 : x
  2. Step 2: Convert to fraction form
    180,954.75/397,600.13 = 397,600.13/x
  3. Step 3: Cross multiply
    180,954.75x = 397,600.13 × 397,600.13
  4. Step 4: Simplify right side
    180,954.75x = 158,085,859,400.02
  5. Step 5: Solve for x
    x = 158,085,859,400.02/180,954.75
  6. Step 6: Final answer
    x = 873,620.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.