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Finding the Third Proportional to 139,025 and 305,698

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Solution

The third proportional to 139,025 and 305,698 is: 672,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,025 : 305,698 = 305,698 : x
  2. Step 2: Convert to fraction form
    139,025/305,698 = 305,698/x
  3. Step 3: Cross multiply
    139,025x = 305,698 × 305,698
  4. Step 4: Simplify right side
    139,025x = 93,451,267,204
  5. Step 5: Solve for x
    x = 93,451,267,204/139,025
  6. Step 6: Final answer
    x = 672,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.