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Finding the Third Proportional to 117,204 and 181,369

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Solution

The third proportional to 117,204 and 181,369 is: 280,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204 : 181,369 = 181,369 : x
  2. Step 2: Convert to fraction form
    117,204/181,369 = 181,369/x
  3. Step 3: Cross multiply
    117,204x = 181,369 × 181,369
  4. Step 4: Simplify right side
    117,204x = 32,894,714,161
  5. Step 5: Solve for x
    x = 32,894,714,161/117,204
  6. Step 6: Final answer
    x = 280,662.04

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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.