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Finding the Third Proportional to 184,737 and 397,101

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Solution

The third proportional to 184,737 and 397,101 is: 853,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,737 : 397,101 = 397,101 : x
  2. Step 2: Convert to fraction form
    184,737/397,101 = 397,101/x
  3. Step 3: Cross multiply
    184,737x = 397,101 × 397,101
  4. Step 4: Simplify right side
    184,737x = 157,689,204,201
  5. Step 5: Solve for x
    x = 157,689,204,201/184,737
  6. Step 6: Final answer
    x = 853,587.56

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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.