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Finding the Third Proportional to 167,536 and 353,696

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Solution

The third proportional to 167,536 and 353,696 is: 746,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,536 : 353,696 = 353,696 : x
  2. Step 2: Convert to fraction form
    167,536/353,696 = 353,696/x
  3. Step 3: Cross multiply
    167,536x = 353,696 × 353,696
  4. Step 4: Simplify right side
    167,536x = 125,100,860,416
  5. Step 5: Solve for x
    x = 125,100,860,416/167,536
  6. Step 6: Final answer
    x = 746,710.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.