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Finding the Third Proportional to 184,926 and 285,225

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Solution

The third proportional to 184,926 and 285,225 is: 439,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,926 : 285,225 = 285,225 : x
  2. Step 2: Convert to fraction form
    184,926/285,225 = 285,225/x
  3. Step 3: Cross multiply
    184,926x = 285,225 × 285,225
  4. Step 4: Simplify right side
    184,926x = 81,353,300,625
  5. Step 5: Solve for x
    x = 81,353,300,625/184,926
  6. Step 6: Final answer
    x = 439,923.54

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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.