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Finding the Third Proportional to 186,328 and 263,400

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Solution

The third proportional to 186,328 and 263,400 is: 372,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,328 : 263,400 = 263,400 : x
  2. Step 2: Convert to fraction form
    186,328/263,400 = 263,400/x
  3. Step 3: Cross multiply
    186,328x = 263,400 × 263,400
  4. Step 4: Simplify right side
    186,328x = 69,379,560,000
  5. Step 5: Solve for x
    x = 69,379,560,000/186,328
  6. Step 6: Final answer
    x = 372,351.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.