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Finding the Third Proportional to 84,575 and 184,218

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Solution

The third proportional to 84,575 and 184,218 is: 401,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,575 : 184,218 = 184,218 : x
  2. Step 2: Convert to fraction form
    84,575/184,218 = 184,218/x
  3. Step 3: Cross multiply
    84,575x = 184,218 × 184,218
  4. Step 4: Simplify right side
    84,575x = 33,936,271,524
  5. Step 5: Solve for x
    x = 33,936,271,524/84,575
  6. Step 6: Final answer
    x = 401,256.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.