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Finding the Third Proportional to 168,921 and 364,026

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Solution

The third proportional to 168,921 and 364,026 is: 784,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,921 : 364,026 = 364,026 : x
  2. Step 2: Convert to fraction form
    168,921/364,026 = 364,026/x
  3. Step 3: Cross multiply
    168,921x = 364,026 × 364,026
  4. Step 4: Simplify right side
    168,921x = 132,514,928,676
  5. Step 5: Solve for x
    x = 132,514,928,676/168,921
  6. Step 6: Final answer
    x = 784,478.71

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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.