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Finding the Third Proportional to 184,214 and 275,183

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Solution

The third proportional to 184,214 and 275,183 is: 411,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,214 : 275,183 = 275,183 : x
  2. Step 2: Convert to fraction form
    184,214/275,183 = 275,183/x
  3. Step 3: Cross multiply
    184,214x = 275,183 × 275,183
  4. Step 4: Simplify right side
    184,214x = 75,725,683,489
  5. Step 5: Solve for x
    x = 75,725,683,489/184,214
  6. Step 6: Final answer
    x = 411,074.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.