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Finding the Third Proportional to 217,101.75 and 327,019.50

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Solution

The third proportional to 217,101.75 and 327,019.50 is: 492,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,101.75 : 327,019.50 = 327,019.50 : x
  2. Step 2: Convert to fraction form
    217,101.75/327,019.50 = 327,019.50/x
  3. Step 3: Cross multiply
    217,101.75x = 327,019.50 × 327,019.50
  4. Step 4: Simplify right side
    217,101.75x = 106,941,753,380.25
  5. Step 5: Solve for x
    x = 106,941,753,380.25/217,101.75
  6. Step 6: Final answer
    x = 492,588.17

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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.