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Finding the Third Proportional to 223,601 and 332,359

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Solution

The third proportional to 223,601 and 332,359 is: 494,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,601 : 332,359 = 332,359 : x
  2. Step 2: Convert to fraction form
    223,601/332,359 = 332,359/x
  3. Step 3: Cross multiply
    223,601x = 332,359 × 332,359
  4. Step 4: Simplify right side
    223,601x = 110,462,504,881
  5. Step 5: Solve for x
    x = 110,462,504,881/223,601
  6. Step 6: Final answer
    x = 494,016.15

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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.