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Finding the Third Proportional to 221,537.50 and 332,225

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Solution

The third proportional to 221,537.50 and 332,225 is: 498,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,537.50 : 332,225 = 332,225 : x
  2. Step 2: Convert to fraction form
    221,537.50/332,225 = 332,225/x
  3. Step 3: Cross multiply
    221,537.50x = 332,225 × 332,225
  4. Step 4: Simplify right side
    221,537.50x = 110,373,450,625
  5. Step 5: Solve for x
    x = 110,373,450,625/221,537.50
  6. Step 6: Final answer
    x = 498,215.65

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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.