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Finding the Third Proportional to 84,699 and 184,302

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Solution

The third proportional to 84,699 and 184,302 is: 401,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,699 : 184,302 = 184,302 : x
  2. Step 2: Convert to fraction form
    84,699/184,302 = 184,302/x
  3. Step 3: Cross multiply
    84,699x = 184,302 × 184,302
  4. Step 4: Simplify right side
    84,699x = 33,967,227,204
  5. Step 5: Solve for x
    x = 33,967,227,204/84,699
  6. Step 6: Final answer
    x = 401,034.57

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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.