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Finding the Third Proportional to 105,539 and 227,917

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Solution

The third proportional to 105,539 and 227,917 is: 492,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539 : 227,917 = 227,917 : x
  2. Step 2: Convert to fraction form
    105,539/227,917 = 227,917/x
  3. Step 3: Cross multiply
    105,539x = 227,917 × 227,917
  4. Step 4: Simplify right side
    105,539x = 51,946,158,889
  5. Step 5: Solve for x
    x = 51,946,158,889/105,539
  6. Step 6: Final answer
    x = 492,198.70

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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.