Finding the Third Proportional to 204 and 533
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Solution
The third proportional to 204 and 533 is: 1,392.59
Step by Step Solution
- Step 1: Write the proportion equation
204 : 533 = 533 : x - Step 2: Convert to fraction form
204/533 = 533/x - Step 3: Cross multiply
204x = 533 × 533 - Step 4: Simplify right side
204x = 284,089 - Step 5: Solve for x
x = 284,089/204 - Step 6: Final answer
x = 1,392.59
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.