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Finding the Third Proportional to 206,183 and 327,095

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Solution

The third proportional to 206,183 and 327,095 is: 518,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183 : 327,095 = 327,095 : x
  2. Step 2: Convert to fraction form
    206,183/327,095 = 327,095/x
  3. Step 3: Cross multiply
    206,183x = 327,095 × 327,095
  4. Step 4: Simplify right side
    206,183x = 106,991,139,025
  5. Step 5: Solve for x
    x = 106,991,139,025/206,183
  6. Step 6: Final answer
    x = 518,913.48

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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.