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Finding the Third Proportional to 184,383 and 278,268.75

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Solution

The third proportional to 184,383 and 278,268.75 is: 419,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,383 : 278,268.75 = 278,268.75 : x
  2. Step 2: Convert to fraction form
    184,383/278,268.75 = 278,268.75/x
  3. Step 3: Cross multiply
    184,383x = 278,268.75 × 278,268.75
  4. Step 4: Simplify right side
    184,383x = 77,433,497,226.56
  5. Step 5: Solve for x
    x = 77,433,497,226.56/184,383
  6. Step 6: Final answer
    x = 419,960.07

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Why These Related Problems?

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