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Finding the Third Proportional to 221,604.75 and 332,339.63

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Solution

The third proportional to 221,604.75 and 332,339.63 is: 498,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,604.75 : 332,339.63 = 332,339.63 : x
  2. Step 2: Convert to fraction form
    221,604.75/332,339.63 = 332,339.63/x
  3. Step 3: Cross multiply
    221,604.75x = 332,339.63 × 332,339.63
  4. Step 4: Simplify right side
    221,604.75x = 110,449,626,345.14
  5. Step 5: Solve for x
    x = 110,449,626,345.14/221,604.75
  6. Step 6: Final answer
    x = 498,408.21

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Why These Related Problems?

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