Finding the Third Proportional to 297 and 334.50
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Solution
The third proportional to 297 and 334.50 is: 376.73
Step by Step Solution
- Step 1: Write the proportion equation
297 : 334.50 = 334.50 : x - Step 2: Convert to fraction form
297/334.50 = 334.50/x - Step 3: Cross multiply
297x = 334.50 × 334.50 - Step 4: Simplify right side
297x = 111,890.25 - Step 5: Solve for x
x = 111,890.25/297 - Step 6: Final answer
x = 376.73
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.