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Finding the Third Proportional to 168,096 and 363,296

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Solution

The third proportional to 168,096 and 363,296 is: 785,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,096 : 363,296 = 363,296 : x
  2. Step 2: Convert to fraction form
    168,096/363,296 = 363,296/x
  3. Step 3: Cross multiply
    168,096x = 363,296 × 363,296
  4. Step 4: Simplify right side
    168,096x = 131,983,983,616
  5. Step 5: Solve for x
    x = 131,983,983,616/168,096
  6. Step 6: Final answer
    x = 785,170.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.