Finding the Third Proportional to 343 and 660
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Solution
The third proportional to 343 and 660 is: 1,269.97
Step by Step Solution
- Step 1: Write the proportion equation
343 : 660 = 660 : x - Step 2: Convert to fraction form
343/660 = 660/x - Step 3: Cross multiply
343x = 660 × 660 - Step 4: Simplify right side
343x = 435,600 - Step 5: Solve for x
x = 435,600/343 - Step 6: Final answer
x = 1,269.97
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.