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Finding the Third Proportional to 182,024 and 271,632

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Solution

The third proportional to 182,024 and 271,632 is: 405,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,024 : 271,632 = 271,632 : x
  2. Step 2: Convert to fraction form
    182,024/271,632 = 271,632/x
  3. Step 3: Cross multiply
    182,024x = 271,632 × 271,632
  4. Step 4: Simplify right side
    182,024x = 73,783,943,424
  5. Step 5: Solve for x
    x = 73,783,943,424/182,024
  6. Step 6: Final answer
    x = 405,352.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.