Finding the Third Proportional to 196,604 and 462,166
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Solution
The third proportional to 196,604 and 462,166 is: 1,086,434.72
Step by Step Solution
- Step 1: Write the proportion equation
196,604 : 462,166 = 462,166 : x - Step 2: Convert to fraction form
196,604/462,166 = 462,166/x - Step 3: Cross multiply
196,604x = 462,166 × 462,166 - Step 4: Simplify right side
196,604x = 213,597,411,556 - Step 5: Solve for x
x = 213,597,411,556/196,604 - Step 6: Final answer
x = 1,086,434.72
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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.