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Finding the Third Proportional to 177,626 and 270,084

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Solution

The third proportional to 177,626 and 270,084 is: 410,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,626 : 270,084 = 270,084 : x
  2. Step 2: Convert to fraction form
    177,626/270,084 = 270,084/x
  3. Step 3: Cross multiply
    177,626x = 270,084 × 270,084
  4. Step 4: Simplify right side
    177,626x = 72,945,367,056
  5. Step 5: Solve for x
    x = 72,945,367,056/177,626
  6. Step 6: Final answer
    x = 410,668.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.