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Finding the Third Proportional to 117,268 and 181,694

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Solution

The third proportional to 117,268 and 181,694 is: 281,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,268 : 181,694 = 181,694 : x
  2. Step 2: Convert to fraction form
    117,268/181,694 = 181,694/x
  3. Step 3: Cross multiply
    117,268x = 181,694 × 181,694
  4. Step 4: Simplify right side
    117,268x = 33,012,709,636
  5. Step 5: Solve for x
    x = 33,012,709,636/117,268
  6. Step 6: Final answer
    x = 281,515.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.