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Finding the Third Proportional to 190,900.75 and 411,305.75

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Solution

The third proportional to 190,900.75 and 411,305.75 is: 886,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,900.75 : 411,305.75 = 411,305.75 : x
  2. Step 2: Convert to fraction form
    190,900.75/411,305.75 = 411,305.75/x
  3. Step 3: Cross multiply
    190,900.75x = 411,305.75 × 411,305.75
  4. Step 4: Simplify right side
    190,900.75x = 169,172,419,983.06
  5. Step 5: Solve for x
    x = 169,172,419,983.06/190,900.75
  6. Step 6: Final answer
    x = 886,179.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.