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Finding the Third Proportional to 223,610 and 332,370

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Solution

The third proportional to 223,610 and 332,370 is: 494,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,610 : 332,370 = 332,370 : x
  2. Step 2: Convert to fraction form
    223,610/332,370 = 332,370/x
  3. Step 3: Cross multiply
    223,610x = 332,370 × 332,370
  4. Step 4: Simplify right side
    223,610x = 110,469,816,900
  5. Step 5: Solve for x
    x = 110,469,816,900/223,610
  6. Step 6: Final answer
    x = 494,028.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.