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Finding the Third Proportional to 184,042.13 and 269,995.78

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Solution

The third proportional to 184,042.13 and 269,995.78 is: 396,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.13 : 269,995.78 = 269,995.78 : x
  2. Step 2: Convert to fraction form
    184,042.13/269,995.78 = 269,995.78/x
  3. Step 3: Cross multiply
    184,042.13x = 269,995.78 × 269,995.78
  4. Step 4: Simplify right side
    184,042.13x = 72,897,721,892.80
  5. Step 5: Solve for x
    x = 72,897,721,892.80/184,042.13
  6. Step 6: Final answer
    x = 396,092.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.