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Finding the Third Proportional to 184,216.50 and 275,187.75

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Solution

The third proportional to 184,216.50 and 275,187.75 is: 411,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,216.50 : 275,187.75 = 275,187.75 : x
  2. Step 2: Convert to fraction form
    184,216.50/275,187.75 = 275,187.75/x
  3. Step 3: Cross multiply
    184,216.50x = 275,187.75 × 275,187.75
  4. Step 4: Simplify right side
    184,216.50x = 75,728,297,750.06
  5. Step 5: Solve for x
    x = 75,728,297,750.06/184,216.50
  6. Step 6: Final answer
    x = 411,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.