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Finding the Third Proportional to 206,106 and 327,861

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Solution

The third proportional to 206,106 and 327,861 is: 521,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106 : 327,861 = 327,861 : x
  2. Step 2: Convert to fraction form
    206,106/327,861 = 327,861/x
  3. Step 3: Cross multiply
    206,106x = 327,861 × 327,861
  4. Step 4: Simplify right side
    206,106x = 107,492,835,321
  5. Step 5: Solve for x
    x = 107,492,835,321/206,106
  6. Step 6: Final answer
    x = 521,541.51

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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.