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Finding the Third Proportional to 168,638 and 372,982

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Solution

The third proportional to 168,638 and 372,982 is: 824,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,638 : 372,982 = 372,982 : x
  2. Step 2: Convert to fraction form
    168,638/372,982 = 372,982/x
  3. Step 3: Cross multiply
    168,638x = 372,982 × 372,982
  4. Step 4: Simplify right side
    168,638x = 139,115,572,324
  5. Step 5: Solve for x
    x = 139,115,572,324/168,638
  6. Step 6: Final answer
    x = 824,936.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.