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Finding the Third Proportional to 223,606 and 332,364

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Solution

The third proportional to 223,606 and 332,364 is: 494,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,606 : 332,364 = 332,364 : x
  2. Step 2: Convert to fraction form
    223,606/332,364 = 332,364/x
  3. Step 3: Cross multiply
    223,606x = 332,364 × 332,364
  4. Step 4: Simplify right side
    223,606x = 110,465,828,496
  5. Step 5: Solve for x
    x = 110,465,828,496/223,606
  6. Step 6: Final answer
    x = 494,019.97

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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.