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Finding the Third Proportional to 218,882.25 and 476,097.75

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Solution

The third proportional to 218,882.25 and 476,097.75 is: 1,035,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,882.25 : 476,097.75 = 476,097.75 : x
  2. Step 2: Convert to fraction form
    218,882.25/476,097.75 = 476,097.75/x
  3. Step 3: Cross multiply
    218,882.25x = 476,097.75 × 476,097.75
  4. Step 4: Simplify right side
    218,882.25x = 226,669,067,555.06
  5. Step 5: Solve for x
    x = 226,669,067,555.06/218,882.25
  6. Step 6: Final answer
    x = 1,035,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.