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Finding the Third Proportional to 84,735 and 184,225

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Solution

The third proportional to 84,735 and 184,225 is: 400,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,735 : 184,225 = 184,225 : x
  2. Step 2: Convert to fraction form
    84,735/184,225 = 184,225/x
  3. Step 3: Cross multiply
    84,735x = 184,225 × 184,225
  4. Step 4: Simplify right side
    84,735x = 33,938,850,625
  5. Step 5: Solve for x
    x = 33,938,850,625/84,735
  6. Step 6: Final answer
    x = 400,529.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.