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Finding the Third Proportional to 189,956.25 and 300,786.75

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Solution

The third proportional to 189,956.25 and 300,786.75 is: 476,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,956.25 : 300,786.75 = 300,786.75 : x
  2. Step 2: Convert to fraction form
    189,956.25/300,786.75 = 300,786.75/x
  3. Step 3: Cross multiply
    189,956.25x = 300,786.75 × 300,786.75
  4. Step 4: Simplify right side
    189,956.25x = 90,472,668,975.56
  5. Step 5: Solve for x
    x = 90,472,668,975.56/189,956.25
  6. Step 6: Final answer
    x = 476,281.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.