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Finding the Third Proportional to 183,469 and 271,801

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Solution

The third proportional to 183,469 and 271,801 is: 402,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 271,801 = 271,801 : x
  2. Step 2: Convert to fraction form
    183,469/271,801 = 271,801/x
  3. Step 3: Cross multiply
    183,469x = 271,801 × 271,801
  4. Step 4: Simplify right side
    183,469x = 73,875,783,601
  5. Step 5: Solve for x
    x = 73,875,783,601/183,469
  6. Step 6: Final answer
    x = 402,660.85

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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.