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Finding the Third Proportional to 84,568 and 184,202

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Solution

The third proportional to 84,568 and 184,202 is: 401,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,568 : 184,202 = 184,202 : x
  2. Step 2: Convert to fraction form
    84,568/184,202 = 184,202/x
  3. Step 3: Cross multiply
    84,568x = 184,202 × 184,202
  4. Step 4: Simplify right side
    84,568x = 33,930,376,804
  5. Step 5: Solve for x
    x = 33,930,376,804/84,568
  6. Step 6: Final answer
    x = 401,220.05

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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.