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Finding the Third Proportional to 184,851 and 280,739.25

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Solution

The third proportional to 184,851 and 280,739.25 is: 426,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,851 : 280,739.25 = 280,739.25 : x
  2. Step 2: Convert to fraction form
    184,851/280,739.25 = 280,739.25/x
  3. Step 3: Cross multiply
    184,851x = 280,739.25 × 280,739.25
  4. Step 4: Simplify right side
    184,851x = 78,814,526,490.56
  5. Step 5: Solve for x
    x = 78,814,526,490.56/184,851
  6. Step 6: Final answer
    x = 426,367.87

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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.