Finding the Third Proportional to 126,000 and 197,208
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Solution
The third proportional to 126,000 and 197,208 is: 308,658.69
Step by Step Solution
- Step 1: Write the proportion equation
126,000 : 197,208 = 197,208 : x - Step 2: Convert to fraction form
126,000/197,208 = 197,208/x - Step 3: Cross multiply
126,000x = 197,208 × 197,208 - Step 4: Simplify right side
126,000x = 38,890,995,264 - Step 5: Solve for x
x = 38,890,995,264/126,000 - Step 6: Final answer
x = 308,658.69
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.