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Finding the Third Proportional to 168,491 and 367,856

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Solution

The third proportional to 168,491 and 367,856 is: 803,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,491 : 367,856 = 367,856 : x
  2. Step 2: Convert to fraction form
    168,491/367,856 = 367,856/x
  3. Step 3: Cross multiply
    168,491x = 367,856 × 367,856
  4. Step 4: Simplify right side
    168,491x = 135,318,036,736
  5. Step 5: Solve for x
    x = 135,318,036,736/168,491
  6. Step 6: Final answer
    x = 803,117.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.