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Finding the Third Proportional to 162,296 and 350,512

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Solution

The third proportional to 162,296 and 350,512 is: 757,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,296 : 350,512 = 350,512 : x
  2. Step 2: Convert to fraction form
    162,296/350,512 = 350,512/x
  3. Step 3: Cross multiply
    162,296x = 350,512 × 350,512
  4. Step 4: Simplify right side
    162,296x = 122,858,662,144
  5. Step 5: Solve for x
    x = 122,858,662,144/162,296
  6. Step 6: Final answer
    x = 757,003.64

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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.