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Finding the Third Proportional to 217,647 and 308,245.50

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Solution

The third proportional to 217,647 and 308,245.50 is: 436,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,647 : 308,245.50 = 308,245.50 : x
  2. Step 2: Convert to fraction form
    217,647/308,245.50 = 308,245.50/x
  3. Step 3: Cross multiply
    217,647x = 308,245.50 × 308,245.50
  4. Step 4: Simplify right side
    217,647x = 95,015,288,270.25
  5. Step 5: Solve for x
    x = 95,015,288,270.25/217,647
  6. Step 6: Final answer
    x = 436,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.