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Finding the Third Proportional to 117,244 and 181,806

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Solution

The third proportional to 117,244 and 181,806 is: 281,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,244 : 181,806 = 181,806 : x
  2. Step 2: Convert to fraction form
    117,244/181,806 = 181,806/x
  3. Step 3: Cross multiply
    117,244x = 181,806 × 181,806
  4. Step 4: Simplify right side
    117,244x = 33,053,421,636
  5. Step 5: Solve for x
    x = 33,053,421,636/117,244
  6. Step 6: Final answer
    x = 281,919.94

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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.