Finding the Third Proportional to 216 and 559
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Solution
The third proportional to 216 and 559 is: 1,446.67
Step by Step Solution
- Step 1: Write the proportion equation
216 : 559 = 559 : x - Step 2: Convert to fraction form
216/559 = 559/x - Step 3: Cross multiply
216x = 559 × 559 - Step 4: Simplify right side
216x = 312,481 - Step 5: Solve for x
x = 312,481/216 - Step 6: Final answer
x = 1,446.67
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Why These Related Problems?
These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.