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Finding the Third Proportional to 182,032 and 271,642

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Solution

The third proportional to 182,032 and 271,642 is: 405,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,032 : 271,642 = 271,642 : x
  2. Step 2: Convert to fraction form
    182,032/271,642 = 271,642/x
  3. Step 3: Cross multiply
    182,032x = 271,642 × 271,642
  4. Step 4: Simplify right side
    182,032x = 73,789,376,164
  5. Step 5: Solve for x
    x = 73,789,376,164/182,032
  6. Step 6: Final answer
    x = 405,364.86

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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.