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Finding the Third Proportional to 184,797 and 397,200.38

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Solution

The third proportional to 184,797 and 397,200.38 is: 853,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,797 : 397,200.38 = 397,200.38 : x
  2. Step 2: Convert to fraction form
    184,797/397,200.38 = 397,200.38/x
  3. Step 3: Cross multiply
    184,797x = 397,200.38 × 397,200.38
  4. Step 4: Simplify right side
    184,797x = 157,768,137,900.14
  5. Step 5: Solve for x
    x = 157,768,137,900.14/184,797
  6. Step 6: Final answer
    x = 853,737.55

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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.