Finding the Third Proportional to 196,528 and 461,976
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Solution
The third proportional to 196,528 and 461,976 is: 1,085,961.41
Step by Step Solution
- Step 1: Write the proportion equation
196,528 : 461,976 = 461,976 : x - Step 2: Convert to fraction form
196,528/461,976 = 461,976/x - Step 3: Cross multiply
196,528x = 461,976 × 461,976 - Step 4: Simplify right side
196,528x = 213,421,824,576 - Step 5: Solve for x
x = 213,421,824,576/196,528 - Step 6: Final answer
x = 1,085,961.41
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.