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Finding the Third Proportional to 177,326 and 266,027

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Solution

The third proportional to 177,326 and 266,027 is: 399,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,326 : 266,027 = 266,027 : x
  2. Step 2: Convert to fraction form
    177,326/266,027 = 266,027/x
  3. Step 3: Cross multiply
    177,326x = 266,027 × 266,027
  4. Step 4: Simplify right side
    177,326x = 70,770,364,729
  5. Step 5: Solve for x
    x = 70,770,364,729/177,326
  6. Step 6: Final answer
    x = 399,097.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.