Finding the Third Proportional to 194,724 and 414,558
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Solution
The third proportional to 194,724 and 414,558 is: 882,573.98
Step by Step Solution
- Step 1: Write the proportion equation
194,724 : 414,558 = 414,558 : x - Step 2: Convert to fraction form
194,724/414,558 = 414,558/x - Step 3: Cross multiply
194,724x = 414,558 × 414,558 - Step 4: Simplify right side
194,724x = 171,858,335,364 - Step 5: Solve for x
x = 171,858,335,364/194,724 - Step 6: Final answer
x = 882,573.98
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.