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Finding the Third Proportional to 139,036 and 303,568

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Solution

The third proportional to 139,036 and 303,568 is: 662,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,036 : 303,568 = 303,568 : x
  2. Step 2: Convert to fraction form
    139,036/303,568 = 303,568/x
  3. Step 3: Cross multiply
    139,036x = 303,568 × 303,568
  4. Step 4: Simplify right side
    139,036x = 92,153,530,624
  5. Step 5: Solve for x
    x = 92,153,530,624/139,036
  6. Step 6: Final answer
    x = 662,803.38

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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.