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Finding the Third Proportional to 182,997 and 281,628

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Solution

The third proportional to 182,997 and 281,628 is: 433,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,997 : 281,628 = 281,628 : x
  2. Step 2: Convert to fraction form
    182,997/281,628 = 281,628/x
  3. Step 3: Cross multiply
    182,997x = 281,628 × 281,628
  4. Step 4: Simplify right side
    182,997x = 79,314,330,384
  5. Step 5: Solve for x
    x = 79,314,330,384/182,997
  6. Step 6: Final answer
    x = 433,418.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.