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Finding the Third Proportional to 221,138.44 and 331,355.81

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Solution

The third proportional to 221,138.44 and 331,355.81 is: 496,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,138.44 : 331,355.81 = 331,355.81 : x
  2. Step 2: Convert to fraction form
    221,138.44/331,355.81 = 331,355.81/x
  3. Step 3: Cross multiply
    221,138.44x = 331,355.81 × 331,355.81
  4. Step 4: Simplify right side
    221,138.44x = 109,796,674,477.54
  5. Step 5: Solve for x
    x = 109,796,674,477.54/221,138.44
  6. Step 6: Final answer
    x = 496,506.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.