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Finding the Third Proportional to 184,558 and 285,015

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Solution

The third proportional to 184,558 and 285,015 is: 440,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558 : 285,015 = 285,015 : x
  2. Step 2: Convert to fraction form
    184,558/285,015 = 285,015/x
  3. Step 3: Cross multiply
    184,558x = 285,015 × 285,015
  4. Step 4: Simplify right side
    184,558x = 81,233,550,225
  5. Step 5: Solve for x
    x = 81,233,550,225/184,558
  6. Step 6: Final answer
    x = 440,151.88

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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.