Finding the Third Proportional to 100,378 and 222,898
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Solution
The third proportional to 100,378 and 222,898 is: 494,964.22
Step by Step Solution
- Step 1: Write the proportion equation
100,378 : 222,898 = 222,898 : x - Step 2: Convert to fraction form
100,378/222,898 = 222,898/x - Step 3: Cross multiply
100,378x = 222,898 × 222,898 - Step 4: Simplify right side
100,378x = 49,683,518,404 - Step 5: Solve for x
x = 49,683,518,404/100,378 - Step 6: Final answer
x = 494,964.22
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.