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Finding the Third Proportional to 184,403.25 and 278,295.75

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Solution

The third proportional to 184,403.25 and 278,295.75 is: 419,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,403.25 : 278,295.75 = 278,295.75 : x
  2. Step 2: Convert to fraction form
    184,403.25/278,295.75 = 278,295.75/x
  3. Step 3: Cross multiply
    184,403.25x = 278,295.75 × 278,295.75
  4. Step 4: Simplify right side
    184,403.25x = 77,448,524,468.06
  5. Step 5: Solve for x
    x = 77,448,524,468.06/184,403.25
  6. Step 6: Final answer
    x = 419,995.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.