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Finding the Third Proportional to 185,190.75 and 271,203.75

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Solution

The third proportional to 185,190.75 and 271,203.75 is: 397,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,190.75 : 271,203.75 = 271,203.75 : x
  2. Step 2: Convert to fraction form
    185,190.75/271,203.75 = 271,203.75/x
  3. Step 3: Cross multiply
    185,190.75x = 271,203.75 × 271,203.75
  4. Step 4: Simplify right side
    185,190.75x = 73,551,474,014.06
  5. Step 5: Solve for x
    x = 73,551,474,014.06/185,190.75
  6. Step 6: Final answer
    x = 397,166.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.