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Finding the Third Proportional to 181,184 and 271,344

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Solution

The third proportional to 181,184 and 271,344 is: 406,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184 : 271,344 = 271,344 : x
  2. Step 2: Convert to fraction form
    181,184/271,344 = 271,344/x
  3. Step 3: Cross multiply
    181,184x = 271,344 × 271,344
  4. Step 4: Simplify right side
    181,184x = 73,627,566,336
  5. Step 5: Solve for x
    x = 73,627,566,336/181,184
  6. Step 6: Final answer
    x = 406,369.03

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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.