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Finding the Third Proportional to 117,696 and 241,593.75

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Solution

The third proportional to 117,696 and 241,593.75 is: 495,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696 : 241,593.75 = 241,593.75 : x
  2. Step 2: Convert to fraction form
    117,696/241,593.75 = 241,593.75/x
  3. Step 3: Cross multiply
    117,696x = 241,593.75 × 241,593.75
  4. Step 4: Simplify right side
    117,696x = 58,367,540,039.06
  5. Step 5: Solve for x
    x = 58,367,540,039.06/117,696
  6. Step 6: Final answer
    x = 495,917.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.