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Finding the Third Proportional to 184,042.13 and 269,983.13

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Solution

The third proportional to 184,042.13 and 269,983.13 is: 396,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.13 : 269,983.13 = 269,983.13 : x
  2. Step 2: Convert to fraction form
    184,042.13/269,983.13 = 269,983.13/x
  3. Step 3: Cross multiply
    184,042.13x = 269,983.13 × 269,983.13
  4. Step 4: Simplify right side
    184,042.13x = 72,890,887,784.77
  5. Step 5: Solve for x
    x = 72,890,887,784.77/184,042.13
  6. Step 6: Final answer
    x = 396,055.46

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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.