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Finding the Third Proportional to 221,519.25 and 332,482.50

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Solution

The third proportional to 221,519.25 and 332,482.50 is: 499,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,519.25 : 332,482.50 = 332,482.50 : x
  2. Step 2: Convert to fraction form
    221,519.25/332,482.50 = 332,482.50/x
  3. Step 3: Cross multiply
    221,519.25x = 332,482.50 × 332,482.50
  4. Step 4: Simplify right side
    221,519.25x = 110,544,612,806.25
  5. Step 5: Solve for x
    x = 110,544,612,806.25/221,519.25
  6. Step 6: Final answer
    x = 499,029.37

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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.