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Finding the Third Proportional to 221,133.38 and 331,352.44

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Solution

The third proportional to 221,133.38 and 331,352.44 is: 496,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,133.38 : 331,352.44 = 331,352.44 : x
  2. Step 2: Convert to fraction form
    221,133.38/331,352.44 = 331,352.44/x
  3. Step 3: Cross multiply
    221,133.38x = 331,352.44 × 331,352.44
  4. Step 4: Simplify right side
    221,133.38x = 109,794,437,837.19
  5. Step 5: Solve for x
    x = 109,794,437,837.19/221,133.38
  6. Step 6: Final answer
    x = 496,507.77

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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.