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Finding the Third Proportional to 184,729 and 397,085

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Solution

The third proportional to 184,729 and 397,085 is: 853,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,729 : 397,085 = 397,085 : x
  2. Step 2: Convert to fraction form
    184,729/397,085 = 397,085/x
  3. Step 3: Cross multiply
    184,729x = 397,085 × 397,085
  4. Step 4: Simplify right side
    184,729x = 157,676,497,225
  5. Step 5: Solve for x
    x = 157,676,497,225/184,729
  6. Step 6: Final answer
    x = 853,555.73

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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.