Finding the Third Proportional to 223,932 and 492,144
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Solution
The third proportional to 223,932 and 492,144 is: 1,081,603.87
Step by Step Solution
- Step 1: Write the proportion equation
223,932 : 492,144 = 492,144 : x - Step 2: Convert to fraction form
223,932/492,144 = 492,144/x - Step 3: Cross multiply
223,932x = 492,144 × 492,144 - Step 4: Simplify right side
223,932x = 242,205,716,736 - Step 5: Solve for x
x = 242,205,716,736/223,932 - Step 6: Final answer
x = 1,081,603.87
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.