Finding the Third Proportional to 196,804 and 305,574
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Solution
The third proportional to 196,804 and 305,574 is: 474,459.21
Step by Step Solution
- Step 1: Write the proportion equation
196,804 : 305,574 = 305,574 : x - Step 2: Convert to fraction form
196,804/305,574 = 305,574/x - Step 3: Cross multiply
196,804x = 305,574 × 305,574 - Step 4: Simplify right side
196,804x = 93,375,469,476 - Step 5: Solve for x
x = 93,375,469,476/196,804 - Step 6: Final answer
x = 474,459.21
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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.