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Finding the Third Proportional to 105,259 and 227,366

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Solution

The third proportional to 105,259 and 227,366 is: 491,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,259 : 227,366 = 227,366 : x
  2. Step 2: Convert to fraction form
    105,259/227,366 = 227,366/x
  3. Step 3: Cross multiply
    105,259x = 227,366 × 227,366
  4. Step 4: Simplify right side
    105,259x = 51,695,297,956
  5. Step 5: Solve for x
    x = 51,695,297,956/105,259
  6. Step 6: Final answer
    x = 491,124.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.