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Finding the Third Proportional to 184,878 and 264,189

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Solution

The third proportional to 184,878 and 264,189 is: 377,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,878 : 264,189 = 264,189 : x
  2. Step 2: Convert to fraction form
    184,878/264,189 = 264,189/x
  3. Step 3: Cross multiply
    184,878x = 264,189 × 264,189
  4. Step 4: Simplify right side
    184,878x = 69,795,827,721
  5. Step 5: Solve for x
    x = 69,795,827,721/184,878
  6. Step 6: Final answer
    x = 377,523.71

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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.