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Finding the Third Proportional to 226,944.75 and 339,082.50

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Solution

The third proportional to 226,944.75 and 339,082.50 is: 506,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,944.75 : 339,082.50 = 339,082.50 : x
  2. Step 2: Convert to fraction form
    226,944.75/339,082.50 = 339,082.50/x
  3. Step 3: Cross multiply
    226,944.75x = 339,082.50 × 339,082.50
  4. Step 4: Simplify right side
    226,944.75x = 114,976,941,806.25
  5. Step 5: Solve for x
    x = 114,976,941,806.25/226,944.75
  6. Step 6: Final answer
    x = 506,629.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.