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Finding the Third Proportional to 221,212.25 and 244,585.75

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Solution

The third proportional to 221,212.25 and 244,585.75 is: 270,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,212.25 : 244,585.75 = 244,585.75 : x
  2. Step 2: Convert to fraction form
    221,212.25/244,585.75 = 244,585.75/x
  3. Step 3: Cross multiply
    221,212.25x = 244,585.75 × 244,585.75
  4. Step 4: Simplify right side
    221,212.25x = 59,822,189,103.06
  5. Step 5: Solve for x
    x = 59,822,189,103.06/221,212.25
  6. Step 6: Final answer
    x = 270,428.92

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.