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Finding the Third Proportional to 184,779 and 278,832.50

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Solution

The third proportional to 184,779 and 278,832.50 is: 420,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,779 : 278,832.50 = 278,832.50 : x
  2. Step 2: Convert to fraction form
    184,779/278,832.50 = 278,832.50/x
  3. Step 3: Cross multiply
    184,779x = 278,832.50 × 278,832.50
  4. Step 4: Simplify right side
    184,779x = 77,747,563,056.25
  5. Step 5: Solve for x
    x = 77,747,563,056.25/184,779
  6. Step 6: Final answer
    x = 420,759.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.