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Finding the Third Proportional to 221,140.75 and 331,363.75

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Solution

The third proportional to 221,140.75 and 331,363.75 is: 496,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,140.75 : 331,363.75 = 331,363.75 : x
  2. Step 2: Convert to fraction form
    221,140.75/331,363.75 = 331,363.75/x
  3. Step 3: Cross multiply
    221,140.75x = 331,363.75 × 331,363.75
  4. Step 4: Simplify right side
    221,140.75x = 109,801,934,814.06
  5. Step 5: Solve for x
    x = 109,801,934,814.06/221,140.75
  6. Step 6: Final answer
    x = 496,525.11

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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.