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Finding the Third Proportional to 223,702 and 338,811

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Solution

The third proportional to 223,702 and 338,811 is: 513,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702 : 338,811 = 338,811 : x
  2. Step 2: Convert to fraction form
    223,702/338,811 = 338,811/x
  3. Step 3: Cross multiply
    223,702x = 338,811 × 338,811
  4. Step 4: Simplify right side
    223,702x = 114,792,893,721
  5. Step 5: Solve for x
    x = 114,792,893,721/223,702
  6. Step 6: Final answer
    x = 513,150.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.