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Finding the Third Proportional to 184,876 and 264,186

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Solution

The third proportional to 184,876 and 264,186 is: 377,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,876 : 264,186 = 264,186 : x
  2. Step 2: Convert to fraction form
    184,876/264,186 = 264,186/x
  3. Step 3: Cross multiply
    184,876x = 264,186 × 264,186
  4. Step 4: Simplify right side
    184,876x = 69,794,242,596
  5. Step 5: Solve for x
    x = 69,794,242,596/184,876
  6. Step 6: Final answer
    x = 377,519.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.