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Finding the Third Proportional to 181,292 and 384,194

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Solution

The third proportional to 181,292 and 384,194 is: 814,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,292 : 384,194 = 384,194 : x
  2. Step 2: Convert to fraction form
    181,292/384,194 = 384,194/x
  3. Step 3: Cross multiply
    181,292x = 384,194 × 384,194
  4. Step 4: Simplify right side
    181,292x = 147,605,029,636
  5. Step 5: Solve for x
    x = 147,605,029,636/181,292
  6. Step 6: Final answer
    x = 814,183.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.