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Finding the Third Proportional to 167,077 and 361,856

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Solution

The third proportional to 167,077 and 361,856 is: 783,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,077 : 361,856 = 361,856 : x
  2. Step 2: Convert to fraction form
    167,077/361,856 = 361,856/x
  3. Step 3: Cross multiply
    167,077x = 361,856 × 361,856
  4. Step 4: Simplify right side
    167,077x = 130,939,764,736
  5. Step 5: Solve for x
    x = 130,939,764,736/167,077
  6. Step 6: Final answer
    x = 783,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.