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Finding the Third Proportional to 166,342 and 361,116

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Solution

The third proportional to 166,342 and 361,116 is: 783,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,342 : 361,116 = 361,116 : x
  2. Step 2: Convert to fraction form
    166,342/361,116 = 361,116/x
  3. Step 3: Cross multiply
    166,342x = 361,116 × 361,116
  4. Step 4: Simplify right side
    166,342x = 130,404,765,456
  5. Step 5: Solve for x
    x = 130,404,765,456/166,342
  6. Step 6: Final answer
    x = 783,955.74

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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.