Finding the Third Proportional to 196,224 and 294,336
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Solution
The third proportional to 196,224 and 294,336 is: 441,504
Step by Step Solution
- Step 1: Write the proportion equation
196,224 : 294,336 = 294,336 : x - Step 2: Convert to fraction form
196,224/294,336 = 294,336/x - Step 3: Cross multiply
196,224x = 294,336 × 294,336 - Step 4: Simplify right side
196,224x = 86,633,680,896 - Step 5: Solve for x
x = 86,633,680,896/196,224 - Step 6: Final answer
x = 441,504
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.