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Finding the Third Proportional to 206,107.50 and 327,861

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Solution

The third proportional to 206,107.50 and 327,861 is: 521,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,107.50 : 327,861 = 327,861 : x
  2. Step 2: Convert to fraction form
    206,107.50/327,861 = 327,861/x
  3. Step 3: Cross multiply
    206,107.50x = 327,861 × 327,861
  4. Step 4: Simplify right side
    206,107.50x = 107,492,835,321
  5. Step 5: Solve for x
    x = 107,492,835,321/206,107.50
  6. Step 6: Final answer
    x = 521,537.72

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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.