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Finding the Third Proportional to 107,667 and 235,845

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Solution

The third proportional to 107,667 and 235,845 is: 516,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,667 : 235,845 = 235,845 : x
  2. Step 2: Convert to fraction form
    107,667/235,845 = 235,845/x
  3. Step 3: Cross multiply
    107,667x = 235,845 × 235,845
  4. Step 4: Simplify right side
    107,667x = 55,622,864,025
  5. Step 5: Solve for x
    x = 55,622,864,025/107,667
  6. Step 6: Final answer
    x = 516,619.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.