Finding the Third Proportional to 145,694 and 311,646
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Solution
The third proportional to 145,694 and 311,646 is: 666,624.77
Step by Step Solution
- Step 1: Write the proportion equation
145,694 : 311,646 = 311,646 : x - Step 2: Convert to fraction form
145,694/311,646 = 311,646/x - Step 3: Cross multiply
145,694x = 311,646 × 311,646 - Step 4: Simplify right side
145,694x = 97,123,229,316 - Step 5: Solve for x
x = 97,123,229,316/145,694 - Step 6: Final answer
x = 666,624.77
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.