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Finding the Third Proportional to 114,086 and 266,555

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Solution

The third proportional to 114,086 and 266,555 is: 622,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,086 : 266,555 = 266,555 : x
  2. Step 2: Convert to fraction form
    114,086/266,555 = 266,555/x
  3. Step 3: Cross multiply
    114,086x = 266,555 × 266,555
  4. Step 4: Simplify right side
    114,086x = 71,051,568,025
  5. Step 5: Solve for x
    x = 71,051,568,025/114,086
  6. Step 6: Final answer
    x = 622,789.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.