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Finding the Third Proportional to 78,179.25 and 184,368.75

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Solution

The third proportional to 78,179.25 and 184,368.75 is: 434,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.25 : 184,368.75 = 184,368.75 : x
  2. Step 2: Convert to fraction form
    78,179.25/184,368.75 = 184,368.75/x
  3. Step 3: Cross multiply
    78,179.25x = 184,368.75 × 184,368.75
  4. Step 4: Simplify right side
    78,179.25x = 33,991,835,976.56
  5. Step 5: Solve for x
    x = 33,991,835,976.56/78,179.25
  6. Step 6: Final answer
    x = 434,793.58

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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.