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Finding the Third Proportional to 189,104 and 279,922

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Solution

The third proportional to 189,104 and 279,922 is: 414,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,104 : 279,922 = 279,922 : x
  2. Step 2: Convert to fraction form
    189,104/279,922 = 279,922/x
  3. Step 3: Cross multiply
    189,104x = 279,922 × 279,922
  4. Step 4: Simplify right side
    189,104x = 78,356,326,084
  5. Step 5: Solve for x
    x = 78,356,326,084/189,104
  6. Step 6: Final answer
    x = 414,355.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.