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Finding the Third Proportional to 105,210 and 227,367

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Solution

The third proportional to 105,210 and 227,367 is: 491,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210 : 227,367 = 227,367 : x
  2. Step 2: Convert to fraction form
    105,210/227,367 = 227,367/x
  3. Step 3: Cross multiply
    105,210x = 227,367 × 227,367
  4. Step 4: Simplify right side
    105,210x = 51,695,752,689
  5. Step 5: Solve for x
    x = 51,695,752,689/105,210
  6. Step 6: Final answer
    x = 491,357.79

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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.