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Finding the Third Proportional to 184,519.69 and 397,338.75

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Solution

The third proportional to 184,519.69 and 397,338.75 is: 855,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,519.69 : 397,338.75 = 397,338.75 : x
  2. Step 2: Convert to fraction form
    184,519.69/397,338.75 = 397,338.75/x
  3. Step 3: Cross multiply
    184,519.69x = 397,338.75 × 397,338.75
  4. Step 4: Simplify right side
    184,519.69x = 157,878,082,251.56
  5. Step 5: Solve for x
    x = 157,878,082,251.56/184,519.69
  6. Step 6: Final answer
    x = 855,616.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.