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Finding the Third Proportional to 84,226.75 and 184,278.50

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Solution

The third proportional to 84,226.75 and 184,278.50 is: 403,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,226.75 : 184,278.50 = 184,278.50 : x
  2. Step 2: Convert to fraction form
    84,226.75/184,278.50 = 184,278.50/x
  3. Step 3: Cross multiply
    84,226.75x = 184,278.50 × 184,278.50
  4. Step 4: Simplify right side
    84,226.75x = 33,958,565,562.25
  5. Step 5: Solve for x
    x = 33,958,565,562.25/84,226.75
  6. Step 6: Final answer
    x = 403,180.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.