Finding the Third Proportional to 283 and 380
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Solution
The third proportional to 283 and 380 is: 510.25
Step by Step Solution
- Step 1: Write the proportion equation
283 : 380 = 380 : x - Step 2: Convert to fraction form
283/380 = 380/x - Step 3: Cross multiply
283x = 380 × 380 - Step 4: Simplify right side
283x = 144,400 - Step 5: Solve for x
x = 144,400/283 - Step 6: Final answer
x = 510.25
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.