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Finding the Third Proportional to 218,882.25 and 504,012.38

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Solution

The third proportional to 218,882.25 and 504,012.38 is: 1,160,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,882.25 : 504,012.38 = 504,012.38 : x
  2. Step 2: Convert to fraction form
    218,882.25/504,012.38 = 504,012.38/x
  3. Step 3: Cross multiply
    218,882.25x = 504,012.38 × 504,012.38
  4. Step 4: Simplify right side
    218,882.25x = 254,028,474,153.14
  5. Step 5: Solve for x
    x = 254,028,474,153.14/218,882.25
  6. Step 6: Final answer
    x = 1,160,571.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.