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Finding the Third Proportional to 184,863 and 285,447

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Solution

The third proportional to 184,863 and 285,447 is: 440,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863 : 285,447 = 285,447 : x
  2. Step 2: Convert to fraction form
    184,863/285,447 = 285,447/x
  3. Step 3: Cross multiply
    184,863x = 285,447 × 285,447
  4. Step 4: Simplify right side
    184,863x = 81,479,989,809
  5. Step 5: Solve for x
    x = 81,479,989,809/184,863
  6. Step 6: Final answer
    x = 440,758.78

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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.