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Finding the Third Proportional to 184,734 and 397,094

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Solution

The third proportional to 184,734 and 397,094 is: 853,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,734 : 397,094 = 397,094 : x
  2. Step 2: Convert to fraction form
    184,734/397,094 = 397,094/x
  3. Step 3: Cross multiply
    184,734x = 397,094 × 397,094
  4. Step 4: Simplify right side
    184,734x = 157,683,644,836
  5. Step 5: Solve for x
    x = 157,683,644,836/184,734
  6. Step 6: Final answer
    x = 853,571.32

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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.