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Finding the Third Proportional to 117,244 and 181,815

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Solution

The third proportional to 117,244 and 181,815 is: 281,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,244 : 181,815 = 181,815 : x
  2. Step 2: Convert to fraction form
    117,244/181,815 = 181,815/x
  3. Step 3: Cross multiply
    117,244x = 181,815 × 181,815
  4. Step 4: Simplify right side
    117,244x = 33,056,694,225
  5. Step 5: Solve for x
    x = 33,056,694,225/117,244
  6. Step 6: Final answer
    x = 281,947.85

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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.