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Finding the Third Proportional to 184,656 and 280,872

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Solution

The third proportional to 184,656 and 280,872 is: 427,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,656 : 280,872 = 280,872 : x
  2. Step 2: Convert to fraction form
    184,656/280,872 = 280,872/x
  3. Step 3: Cross multiply
    184,656x = 280,872 × 280,872
  4. Step 4: Simplify right side
    184,656x = 78,889,080,384
  5. Step 5: Solve for x
    x = 78,889,080,384/184,656
  6. Step 6: Final answer
    x = 427,221.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.