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Finding the Third Proportional to 220,452.75 and 329,823

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Solution

The third proportional to 220,452.75 and 329,823 is: 493,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,452.75 : 329,823 = 329,823 : x
  2. Step 2: Convert to fraction form
    220,452.75/329,823 = 329,823/x
  3. Step 3: Cross multiply
    220,452.75x = 329,823 × 329,823
  4. Step 4: Simplify right side
    220,452.75x = 108,783,211,329
  5. Step 5: Solve for x
    x = 108,783,211,329/220,452.75
  6. Step 6: Final answer
    x = 493,453.64

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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.