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Finding the Third Proportional to 183,982.13 and 271,872.38

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Solution

The third proportional to 183,982.13 and 271,872.38 is: 401,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,982.13 : 271,872.38 = 271,872.38 : x
  2. Step 2: Convert to fraction form
    183,982.13/271,872.38 = 271,872.38/x
  3. Step 3: Cross multiply
    183,982.13x = 271,872.38 × 271,872.38
  4. Step 4: Simplify right side
    183,982.13x = 73,914,588,288.14
  5. Step 5: Solve for x
    x = 73,914,588,288.14/183,982.13
  6. Step 6: Final answer
    x = 401,748.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.