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Finding the Third Proportional to 206,097.75 and 327,847.50

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Solution

The third proportional to 206,097.75 and 327,847.50 is: 521,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097.75 : 327,847.50 = 327,847.50 : x
  2. Step 2: Convert to fraction form
    206,097.75/327,847.50 = 327,847.50/x
  3. Step 3: Cross multiply
    206,097.75x = 327,847.50 × 327,847.50
  4. Step 4: Simplify right side
    206,097.75x = 107,483,983,256.25
  5. Step 5: Solve for x
    x = 107,483,983,256.25/206,097.75
  6. Step 6: Final answer
    x = 521,519.44

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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.