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Finding the Third Proportional to 206,105 and 327,858

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Solution

The third proportional to 206,105 and 327,858 is: 521,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105 : 327,858 = 327,858 : x
  2. Step 2: Convert to fraction form
    206,105/327,858 = 327,858/x
  3. Step 3: Cross multiply
    206,105x = 327,858 × 327,858
  4. Step 4: Simplify right side
    206,105x = 107,490,868,164
  5. Step 5: Solve for x
    x = 107,490,868,164/206,105
  6. Step 6: Final answer
    x = 521,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.