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Finding the Third Proportional to 191,296 and 280,800

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Solution

The third proportional to 191,296 and 280,800 is: 412,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,296 : 280,800 = 280,800 : x
  2. Step 2: Convert to fraction form
    191,296/280,800 = 280,800/x
  3. Step 3: Cross multiply
    191,296x = 280,800 × 280,800
  4. Step 4: Simplify right side
    191,296x = 78,848,640,000
  5. Step 5: Solve for x
    x = 78,848,640,000/191,296
  6. Step 6: Final answer
    x = 412,181.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.