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Finding the Third Proportional to 166,636 and 350,696

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Solution

The third proportional to 166,636 and 350,696 is: 738,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,636 : 350,696 = 350,696 : x
  2. Step 2: Convert to fraction form
    166,636/350,696 = 350,696/x
  3. Step 3: Cross multiply
    166,636x = 350,696 × 350,696
  4. Step 4: Simplify right side
    166,636x = 122,987,684,416
  5. Step 5: Solve for x
    x = 122,987,684,416/166,636
  6. Step 6: Final answer
    x = 738,061.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.