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Finding the Third Proportional to 181,917 and 382,662

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Solution

The third proportional to 181,917 and 382,662 is: 804,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,917 : 382,662 = 382,662 : x
  2. Step 2: Convert to fraction form
    181,917/382,662 = 382,662/x
  3. Step 3: Cross multiply
    181,917x = 382,662 × 382,662
  4. Step 4: Simplify right side
    181,917x = 146,430,206,244
  5. Step 5: Solve for x
    x = 146,430,206,244/181,917
  6. Step 6: Final answer
    x = 804,928.66

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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.