Finding the Third Proportional to 343 and 452
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Solution
The third proportional to 343 and 452 is: 595.64
Step by Step Solution
- Step 1: Write the proportion equation
343 : 452 = 452 : x - Step 2: Convert to fraction form
343/452 = 452/x - Step 3: Cross multiply
343x = 452 × 452 - Step 4: Simplify right side
343x = 204,304 - Step 5: Solve for x
x = 204,304/343 - Step 6: Final answer
x = 595.64
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.