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Finding the Third Proportional to 184,875.75 and 279,321.75

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Solution

The third proportional to 184,875.75 and 279,321.75 is: 422,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,875.75 : 279,321.75 = 279,321.75 : x
  2. Step 2: Convert to fraction form
    184,875.75/279,321.75 = 279,321.75/x
  3. Step 3: Cross multiply
    184,875.75x = 279,321.75 × 279,321.75
  4. Step 4: Simplify right side
    184,875.75x = 78,020,640,023.06
  5. Step 5: Solve for x
    x = 78,020,640,023.06/184,875.75
  6. Step 6: Final answer
    x = 422,016.62

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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.