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Finding the Third Proportional to 182,786.63 and 274,185

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Solution

The third proportional to 182,786.63 and 274,185 is: 411,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,786.63 : 274,185 = 274,185 : x
  2. Step 2: Convert to fraction form
    182,786.63/274,185 = 274,185/x
  3. Step 3: Cross multiply
    182,786.63x = 274,185 × 274,185
  4. Step 4: Simplify right side
    182,786.63x = 75,177,414,225
  5. Step 5: Solve for x
    x = 75,177,414,225/182,786.63
  6. Step 6: Final answer
    x = 411,285.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.