Finding the Third Proportional to 283 and 302.50
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Solution
The third proportional to 283 and 302.50 is: 323.34
Step by Step Solution
- Step 1: Write the proportion equation
283 : 302.50 = 302.50 : x - Step 2: Convert to fraction form
283/302.50 = 302.50/x - Step 3: Cross multiply
283x = 302.50 × 302.50 - Step 4: Simplify right side
283x = 91,506.25 - Step 5: Solve for x
x = 91,506.25/283 - Step 6: Final answer
x = 323.34
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.