Finding the Third Proportional to 196,784 and 434,916
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Solution
The third proportional to 196,784 and 434,916 is: 961,215.99
Step by Step Solution
- Step 1: Write the proportion equation
196,784 : 434,916 = 434,916 : x - Step 2: Convert to fraction form
196,784/434,916 = 434,916/x - Step 3: Cross multiply
196,784x = 434,916 × 434,916 - Step 4: Simplify right side
196,784x = 189,151,927,056 - Step 5: Solve for x
x = 189,151,927,056/196,784 - Step 6: Final answer
x = 961,215.99
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.