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Finding the Third Proportional to 85,522 and 184,202

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Solution

The third proportional to 85,522 and 184,202 is: 396,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,522 : 184,202 = 184,202 : x
  2. Step 2: Convert to fraction form
    85,522/184,202 = 184,202/x
  3. Step 3: Cross multiply
    85,522x = 184,202 × 184,202
  4. Step 4: Simplify right side
    85,522x = 33,930,376,804
  5. Step 5: Solve for x
    x = 33,930,376,804/85,522
  6. Step 6: Final answer
    x = 396,744.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.