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Finding the Third Proportional to 168,917 and 364,018

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Solution

The third proportional to 168,917 and 364,018 is: 784,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,917 : 364,018 = 364,018 : x
  2. Step 2: Convert to fraction form
    168,917/364,018 = 364,018/x
  3. Step 3: Cross multiply
    168,917x = 364,018 × 364,018
  4. Step 4: Simplify right side
    168,917x = 132,509,104,324
  5. Step 5: Solve for x
    x = 132,509,104,324/168,917
  6. Step 6: Final answer
    x = 784,462.81

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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.