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Finding the Third Proportional to 107,869 and 234,676

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Solution

The third proportional to 107,869 and 234,676 is: 510,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,869 : 234,676 = 234,676 : x
  2. Step 2: Convert to fraction form
    107,869/234,676 = 234,676/x
  3. Step 3: Cross multiply
    107,869x = 234,676 × 234,676
  4. Step 4: Simplify right side
    107,869x = 55,072,824,976
  5. Step 5: Solve for x
    x = 55,072,824,976/107,869
  6. Step 6: Final answer
    x = 510,552.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.