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Finding the Third Proportional to 122,944 and 269,040

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Solution

The third proportional to 122,944 and 269,040 is: 588,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,944 : 269,040 = 269,040 : x
  2. Step 2: Convert to fraction form
    122,944/269,040 = 269,040/x
  3. Step 3: Cross multiply
    122,944x = 269,040 × 269,040
  4. Step 4: Simplify right side
    122,944x = 72,382,521,600
  5. Step 5: Solve for x
    x = 72,382,521,600/122,944
  6. Step 6: Final answer
    x = 588,743.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.