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Finding the Third Proportional to 78,177 and 184,356

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Solution

The third proportional to 78,177 and 184,356 is: 434,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177 : 184,356 = 184,356 : x
  2. Step 2: Convert to fraction form
    78,177/184,356 = 184,356/x
  3. Step 3: Cross multiply
    78,177x = 184,356 × 184,356
  4. Step 4: Simplify right side
    78,177x = 33,987,134,736
  5. Step 5: Solve for x
    x = 33,987,134,736/78,177
  6. Step 6: Final answer
    x = 434,745.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.