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Finding the Third Proportional to 174,934 and 367,493

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Solution

The third proportional to 174,934 and 367,493 is: 772,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934 : 367,493 = 367,493 : x
  2. Step 2: Convert to fraction form
    174,934/367,493 = 367,493/x
  3. Step 3: Cross multiply
    174,934x = 367,493 × 367,493
  4. Step 4: Simplify right side
    174,934x = 135,051,105,049
  5. Step 5: Solve for x
    x = 135,051,105,049/174,934
  6. Step 6: Final answer
    x = 772,011.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.