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Finding the Third Proportional to 172,077.75 and 378,195.75

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Solution

The third proportional to 172,077.75 and 378,195.75 is: 831,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,077.75 : 378,195.75 = 378,195.75 : x
  2. Step 2: Convert to fraction form
    172,077.75/378,195.75 = 378,195.75/x
  3. Step 3: Cross multiply
    172,077.75x = 378,195.75 × 378,195.75
  4. Step 4: Simplify right side
    172,077.75x = 143,032,025,318.06
  5. Step 5: Solve for x
    x = 143,032,025,318.06/172,077.75
  6. Step 6: Final answer
    x = 831,205.81

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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.