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Finding the Third Proportional to 85,449 and 184,045

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Solution

The third proportional to 85,449 and 184,045 is: 396,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,449 : 184,045 = 184,045 : x
  2. Step 2: Convert to fraction form
    85,449/184,045 = 184,045/x
  3. Step 3: Cross multiply
    85,449x = 184,045 × 184,045
  4. Step 4: Simplify right side
    85,449x = 33,872,562,025
  5. Step 5: Solve for x
    x = 33,872,562,025/85,449
  6. Step 6: Final answer
    x = 396,406.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.