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Finding the Third Proportional to 184,408 and 284,800

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Solution

The third proportional to 184,408 and 284,800 is: 439,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,408 : 284,800 = 284,800 : x
  2. Step 2: Convert to fraction form
    184,408/284,800 = 284,800/x
  3. Step 3: Cross multiply
    184,408x = 284,800 × 284,800
  4. Step 4: Simplify right side
    184,408x = 81,111,040,000
  5. Step 5: Solve for x
    x = 81,111,040,000/184,408
  6. Step 6: Final answer
    x = 439,845.56

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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.