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Finding the Third Proportional to 92,580 and 199,182

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Solution

The third proportional to 92,580 and 199,182 is: 428,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,580 : 199,182 = 199,182 : x
  2. Step 2: Convert to fraction form
    92,580/199,182 = 199,182/x
  3. Step 3: Cross multiply
    92,580x = 199,182 × 199,182
  4. Step 4: Simplify right side
    92,580x = 39,673,469,124
  5. Step 5: Solve for x
    x = 39,673,469,124/92,580
  6. Step 6: Final answer
    x = 428,531.75

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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.