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Finding the Third Proportional to 184,393 and 284,779

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Solution

The third proportional to 184,393 and 284,779 is: 439,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,393 : 284,779 = 284,779 : x
  2. Step 2: Convert to fraction form
    184,393/284,779 = 284,779/x
  3. Step 3: Cross multiply
    184,393x = 284,779 × 284,779
  4. Step 4: Simplify right side
    184,393x = 81,099,078,841
  5. Step 5: Solve for x
    x = 81,099,078,841/184,393
  6. Step 6: Final answer
    x = 439,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.