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Finding the Third Proportional to 206,121 and 327,883.50

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Solution

The third proportional to 206,121 and 327,883.50 is: 521,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,121 : 327,883.50 = 327,883.50 : x
  2. Step 2: Convert to fraction form
    206,121/327,883.50 = 327,883.50/x
  3. Step 3: Cross multiply
    206,121x = 327,883.50 × 327,883.50
  4. Step 4: Simplify right side
    206,121x = 107,507,589,572.25
  5. Step 5: Solve for x
    x = 107,507,589,572.25/206,121
  6. Step 6: Final answer
    x = 521,575.14

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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.