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Finding the Third Proportional to 168,796 and 363,836

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Solution

The third proportional to 168,796 and 363,836 is: 784,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,796 : 363,836 = 363,836 : x
  2. Step 2: Convert to fraction form
    168,796/363,836 = 363,836/x
  3. Step 3: Cross multiply
    168,796x = 363,836 × 363,836
  4. Step 4: Simplify right side
    168,796x = 132,376,634,896
  5. Step 5: Solve for x
    x = 132,376,634,896/168,796
  6. Step 6: Final answer
    x = 784,240.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.