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Finding the Third Proportional to 139,838 and 303,004

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Solution

The third proportional to 139,838 and 303,004 is: 656,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838 : 303,004 = 303,004 : x
  2. Step 2: Convert to fraction form
    139,838/303,004 = 303,004/x
  3. Step 3: Cross multiply
    139,838x = 303,004 × 303,004
  4. Step 4: Simplify right side
    139,838x = 91,811,424,016
  5. Step 5: Solve for x
    x = 91,811,424,016/139,838
  6. Step 6: Final answer
    x = 656,555.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.