Finding the Third Proportional to 195,562 and 470,962
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Solution
The third proportional to 195,562 and 470,962 is: 1,134,193.79
Step by Step Solution
- Step 1: Write the proportion equation
195,562 : 470,962 = 470,962 : x - Step 2: Convert to fraction form
195,562/470,962 = 470,962/x - Step 3: Cross multiply
195,562x = 470,962 × 470,962 - Step 4: Simplify right side
195,562x = 221,805,205,444 - Step 5: Solve for x
x = 221,805,205,444/195,562 - Step 6: Final answer
x = 1,134,193.79
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.