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Finding the Third Proportional to 184,362.75 and 287,236.13

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Solution

The third proportional to 184,362.75 and 287,236.13 is: 447,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,362.75 : 287,236.13 = 287,236.13 : x
  2. Step 2: Convert to fraction form
    184,362.75/287,236.13 = 287,236.13/x
  3. Step 3: Cross multiply
    184,362.75x = 287,236.13 × 287,236.13
  4. Step 4: Simplify right side
    184,362.75x = 82,504,591,505.02
  5. Step 5: Solve for x
    x = 82,504,591,505.02/184,362.75
  6. Step 6: Final answer
    x = 447,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.