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Finding the Third Proportional to 100,282 and 213,908

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Solution

The third proportional to 100,282 and 213,908 is: 456,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282 : 213,908 = 213,908 : x
  2. Step 2: Convert to fraction form
    100,282/213,908 = 213,908/x
  3. Step 3: Cross multiply
    100,282x = 213,908 × 213,908
  4. Step 4: Simplify right side
    100,282x = 45,756,632,464
  5. Step 5: Solve for x
    x = 45,756,632,464/100,282
  6. Step 6: Final answer
    x = 456,279.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.