Finding the Third Proportional to 196,357 and 423,728
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Solution
The third proportional to 196,357 and 423,728 is: 914,382.57
Step by Step Solution
- Step 1: Write the proportion equation
196,357 : 423,728 = 423,728 : x - Step 2: Convert to fraction form
196,357/423,728 = 423,728/x - Step 3: Cross multiply
196,357x = 423,728 × 423,728 - Step 4: Simplify right side
196,357x = 179,545,417,984 - Step 5: Solve for x
x = 179,545,417,984/196,357 - Step 6: Final answer
x = 914,382.57
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.