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Finding the Third Proportional to 168,743 and 356,459

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Solution

The third proportional to 168,743 and 356,459 is: 752,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,743 : 356,459 = 356,459 : x
  2. Step 2: Convert to fraction form
    168,743/356,459 = 356,459/x
  3. Step 3: Cross multiply
    168,743x = 356,459 × 356,459
  4. Step 4: Simplify right side
    168,743x = 127,063,018,681
  5. Step 5: Solve for x
    x = 127,063,018,681/168,743
  6. Step 6: Final answer
    x = 752,997.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.