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Finding the Third Proportional to 184,268.25 and 388,219.50

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Solution

The third proportional to 184,268.25 and 388,219.50 is: 817,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,268.25 : 388,219.50 = 388,219.50 : x
  2. Step 2: Convert to fraction form
    184,268.25/388,219.50 = 388,219.50/x
  3. Step 3: Cross multiply
    184,268.25x = 388,219.50 × 388,219.50
  4. Step 4: Simplify right side
    184,268.25x = 150,714,380,180.25
  5. Step 5: Solve for x
    x = 150,714,380,180.25/184,268.25
  6. Step 6: Final answer
    x = 817,907.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.