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Finding the Third Proportional to 184,193 and 275,152

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Solution

The third proportional to 184,193 and 275,152 is: 411,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,193 : 275,152 = 275,152 : x
  2. Step 2: Convert to fraction form
    184,193/275,152 = 275,152/x
  3. Step 3: Cross multiply
    184,193x = 275,152 × 275,152
  4. Step 4: Simplify right side
    184,193x = 75,708,623,104
  5. Step 5: Solve for x
    x = 75,708,623,104/184,193
  6. Step 6: Final answer
    x = 411,028.77

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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.