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Finding the Third Proportional to 184,110.75 and 397,228.50

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Solution

The third proportional to 184,110.75 and 397,228.50 is: 857,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,110.75 : 397,228.50 = 397,228.50 : x
  2. Step 2: Convert to fraction form
    184,110.75/397,228.50 = 397,228.50/x
  3. Step 3: Cross multiply
    184,110.75x = 397,228.50 × 397,228.50
  4. Step 4: Simplify right side
    184,110.75x = 157,790,481,212.25
  5. Step 5: Solve for x
    x = 157,790,481,212.25/184,110.75
  6. Step 6: Final answer
    x = 857,041.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.