Finding the Third Proportional to 196,832 and 305,616
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Solution
The third proportional to 196,832 and 305,616 is: 474,522.13
Step by Step Solution
- Step 1: Write the proportion equation
196,832 : 305,616 = 305,616 : x - Step 2: Convert to fraction form
196,832/305,616 = 305,616/x - Step 3: Cross multiply
196,832x = 305,616 × 305,616 - Step 4: Simplify right side
196,832x = 93,401,139,456 - Step 5: Solve for x
x = 93,401,139,456/196,832 - Step 6: Final answer
x = 474,522.13
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.