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Finding the Third Proportional to 166,344 and 361,122

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Solution

The third proportional to 166,344 and 361,122 is: 783,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,344 : 361,122 = 361,122 : x
  2. Step 2: Convert to fraction form
    166,344/361,122 = 361,122/x
  3. Step 3: Cross multiply
    166,344x = 361,122 × 361,122
  4. Step 4: Simplify right side
    166,344x = 130,409,098,884
  5. Step 5: Solve for x
    x = 130,409,098,884/166,344
  6. Step 6: Final answer
    x = 783,972.36

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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.