Finding the Third Proportional to 122,022 and 223,794
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Solution
The third proportional to 122,022 and 223,794 is: 410,448.56
Step by Step Solution
- Step 1: Write the proportion equation
122,022 : 223,794 = 223,794 : x - Step 2: Convert to fraction form
122,022/223,794 = 223,794/x - Step 3: Cross multiply
122,022x = 223,794 × 223,794 - Step 4: Simplify right side
122,022x = 50,083,754,436 - Step 5: Solve for x
x = 50,083,754,436/122,022 - Step 6: Final answer
x = 410,448.56
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.