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Finding the Third Proportional to 181,007 and 271,161

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Solution

The third proportional to 181,007 and 271,161 is: 406,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,007 : 271,161 = 271,161 : x
  2. Step 2: Convert to fraction form
    181,007/271,161 = 271,161/x
  3. Step 3: Cross multiply
    181,007x = 271,161 × 271,161
  4. Step 4: Simplify right side
    181,007x = 73,528,287,921
  5. Step 5: Solve for x
    x = 73,528,287,921/181,007
  6. Step 6: Final answer
    x = 406,217.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.