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Finding the Third Proportional to 184,396 and 284,782

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Solution

The third proportional to 184,396 and 284,782 is: 439,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,396 : 284,782 = 284,782 : x
  2. Step 2: Convert to fraction form
    184,396/284,782 = 284,782/x
  3. Step 3: Cross multiply
    184,396x = 284,782 × 284,782
  4. Step 4: Simplify right side
    184,396x = 81,100,787,524
  5. Step 5: Solve for x
    x = 81,100,787,524/184,396
  6. Step 6: Final answer
    x = 439,818.58

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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.