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Finding the Third Proportional to 235,106 and 505,568

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Solution

The third proportional to 235,106 and 505,568 is: 1,087,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,106 : 505,568 = 505,568 : x
  2. Step 2: Convert to fraction form
    235,106/505,568 = 505,568/x
  3. Step 3: Cross multiply
    235,106x = 505,568 × 505,568
  4. Step 4: Simplify right side
    235,106x = 255,599,002,624
  5. Step 5: Solve for x
    x = 255,599,002,624/235,106
  6. Step 6: Final answer
    x = 1,087,164.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.