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Finding the Third Proportional to 221,537 and 332,224

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Solution

The third proportional to 221,537 and 332,224 is: 498,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,537 : 332,224 = 332,224 : x
  2. Step 2: Convert to fraction form
    221,537/332,224 = 332,224/x
  3. Step 3: Cross multiply
    221,537x = 332,224 × 332,224
  4. Step 4: Simplify right side
    221,537x = 110,372,786,176
  5. Step 5: Solve for x
    x = 110,372,786,176/221,537
  6. Step 6: Final answer
    x = 498,213.78

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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.