Finding the Third Proportional to 196,826 and 305,607
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Solution
The third proportional to 196,826 and 305,607 is: 474,508.64
Step by Step Solution
- Step 1: Write the proportion equation
196,826 : 305,607 = 305,607 : x - Step 2: Convert to fraction form
196,826/305,607 = 305,607/x - Step 3: Cross multiply
196,826x = 305,607 × 305,607 - Step 4: Simplify right side
196,826x = 93,395,638,449 - Step 5: Solve for x
x = 93,395,638,449/196,826 - Step 6: Final answer
x = 474,508.64
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.