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Finding the Third Proportional to 103,195 and 223,565

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Solution

The third proportional to 103,195 and 223,565 is: 484,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195 : 223,565 = 223,565 : x
  2. Step 2: Convert to fraction form
    103,195/223,565 = 223,565/x
  3. Step 3: Cross multiply
    103,195x = 223,565 × 223,565
  4. Step 4: Simplify right side
    103,195x = 49,981,309,225
  5. Step 5: Solve for x
    x = 49,981,309,225/103,195
  6. Step 6: Final answer
    x = 484,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.