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Finding the Third Proportional to 162,002 and 353,245

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Solution

The third proportional to 162,002 and 353,245 is: 770,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002 : 353,245 = 353,245 : x
  2. Step 2: Convert to fraction form
    162,002/353,245 = 353,245/x
  3. Step 3: Cross multiply
    162,002x = 353,245 × 353,245
  4. Step 4: Simplify right side
    162,002x = 124,782,030,025
  5. Step 5: Solve for x
    x = 124,782,030,025/162,002
  6. Step 6: Final answer
    x = 770,249.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.