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Finding the Third Proportional to 166,626 and 361,684

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Solution

The third proportional to 166,626 and 361,684 is: 785,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,626 : 361,684 = 361,684 : x
  2. Step 2: Convert to fraction form
    166,626/361,684 = 361,684/x
  3. Step 3: Cross multiply
    166,626x = 361,684 × 361,684
  4. Step 4: Simplify right side
    166,626x = 130,815,315,856
  5. Step 5: Solve for x
    x = 130,815,315,856/166,626
  6. Step 6: Final answer
    x = 785,083.46

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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.