Finding the Third Proportional to 197,082 and 446,778
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Solution
The third proportional to 197,082 and 446,778 is: 1,012,830.10
Step by Step Solution
- Step 1: Write the proportion equation
197,082 : 446,778 = 446,778 : x - Step 2: Convert to fraction form
197,082/446,778 = 446,778/x - Step 3: Cross multiply
197,082x = 446,778 × 446,778 - Step 4: Simplify right side
197,082x = 199,610,581,284 - Step 5: Solve for x
x = 199,610,581,284/197,082 - Step 6: Final answer
x = 1,012,830.10
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.