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Finding the Third Proportional to 183,846 and 386,241

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Solution

The third proportional to 183,846 and 386,241 is: 811,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,846 : 386,241 = 386,241 : x
  2. Step 2: Convert to fraction form
    183,846/386,241 = 386,241/x
  3. Step 3: Cross multiply
    183,846x = 386,241 × 386,241
  4. Step 4: Simplify right side
    183,846x = 149,182,110,081
  5. Step 5: Solve for x
    x = 149,182,110,081/183,846
  6. Step 6: Final answer
    x = 811,451.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.