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Finding the Third Proportional to 183,843 and 386,235

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Solution

The third proportional to 183,843 and 386,235 is: 811,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,843 : 386,235 = 386,235 : x
  2. Step 2: Convert to fraction form
    183,843/386,235 = 386,235/x
  3. Step 3: Cross multiply
    183,843x = 386,235 × 386,235
  4. Step 4: Simplify right side
    183,843x = 149,177,475,225
  5. Step 5: Solve for x
    x = 149,177,475,225/183,843
  6. Step 6: Final answer
    x = 811,439.52

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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.