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Finding the Third Proportional to 100,259 and 222,934

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Solution

The third proportional to 100,259 and 222,934 is: 495,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,259 : 222,934 = 222,934 : x
  2. Step 2: Convert to fraction form
    100,259/222,934 = 222,934/x
  3. Step 3: Cross multiply
    100,259x = 222,934 × 222,934
  4. Step 4: Simplify right side
    100,259x = 49,699,568,356
  5. Step 5: Solve for x
    x = 49,699,568,356/100,259
  6. Step 6: Final answer
    x = 495,711.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.