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Finding the Third Proportional to 105,726.75 and 227,958.38

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Solution

The third proportional to 105,726.75 and 227,958.38 is: 491,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.75 : 227,958.38 = 227,958.38 : x
  2. Step 2: Convert to fraction form
    105,726.75/227,958.38 = 227,958.38/x
  3. Step 3: Cross multiply
    105,726.75x = 227,958.38 × 227,958.38
  4. Step 4: Simplify right side
    105,726.75x = 51,965,020,732.64
  5. Step 5: Solve for x
    x = 51,965,020,732.64/105,726.75
  6. Step 6: Final answer
    x = 491,503.06

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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.