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Finding the Third Proportional to 85,881.75 and 184,480.50

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Solution

The third proportional to 85,881.75 and 184,480.50 is: 396,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.75 : 184,480.50 = 184,480.50 : x
  2. Step 2: Convert to fraction form
    85,881.75/184,480.50 = 184,480.50/x
  3. Step 3: Cross multiply
    85,881.75x = 184,480.50 × 184,480.50
  4. Step 4: Simplify right side
    85,881.75x = 34,033,054,880.25
  5. Step 5: Solve for x
    x = 34,033,054,880.25/85,881.75
  6. Step 6: Final answer
    x = 396,278.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.