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Finding the Third Proportional to 84,219 and 184,278

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Solution

The third proportional to 84,219 and 184,278 is: 403,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219 : 184,278 = 184,278 : x
  2. Step 2: Convert to fraction form
    84,219/184,278 = 184,278/x
  3. Step 3: Cross multiply
    84,219x = 184,278 × 184,278
  4. Step 4: Simplify right side
    84,219x = 33,958,381,284
  5. Step 5: Solve for x
    x = 33,958,381,284/84,219
  6. Step 6: Final answer
    x = 403,215.20

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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.