Finding the Third Proportional to 205 and 553
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Solution
The third proportional to 205 and 553 is: 1,491.75
Step by Step Solution
- Step 1: Write the proportion equation
205 : 553 = 553 : x - Step 2: Convert to fraction form
205/553 = 553/x - Step 3: Cross multiply
205x = 553 × 553 - Step 4: Simplify right side
205x = 305,809 - Step 5: Solve for x
x = 305,809/205 - Step 6: Final answer
x = 1,491.75
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.