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Finding the Third Proportional to 221,595.75 and 332,398.69

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Solution

The third proportional to 221,595.75 and 332,398.69 is: 498,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,595.75 : 332,398.69 = 332,398.69 : x
  2. Step 2: Convert to fraction form
    221,595.75/332,398.69 = 332,398.69/x
  3. Step 3: Cross multiply
    221,595.75x = 332,398.69 × 332,398.69
  4. Step 4: Simplify right side
    221,595.75x = 110,488,887,451.72
  5. Step 5: Solve for x
    x = 110,488,887,451.72/221,595.75
  6. Step 6: Final answer
    x = 498,605.63

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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.