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Finding the Third Proportional to 139,384 and 303,104

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Solution

The third proportional to 139,384 and 303,104 is: 659,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,384 : 303,104 = 303,104 : x
  2. Step 2: Convert to fraction form
    139,384/303,104 = 303,104/x
  3. Step 3: Cross multiply
    139,384x = 303,104 × 303,104
  4. Step 4: Simplify right side
    139,384x = 91,872,034,816
  5. Step 5: Solve for x
    x = 91,872,034,816/139,384
  6. Step 6: Final answer
    x = 659,128.99

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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.