Finding the Third Proportional to 282 and 533
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Solution
The third proportional to 282 and 533 is: 1,007.41
Step by Step Solution
- Step 1: Write the proportion equation
282 : 533 = 533 : x - Step 2: Convert to fraction form
282/533 = 533/x - Step 3: Cross multiply
282x = 533 × 533 - Step 4: Simplify right side
282x = 284,089 - Step 5: Solve for x
x = 284,089/282 - Step 6: Final answer
x = 1,007.41
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.