Finding the Third Proportional to 229 and 557
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Solution
The third proportional to 229 and 557 is: 1,354.80
Step by Step Solution
- Step 1: Write the proportion equation
229 : 557 = 557 : x - Step 2: Convert to fraction form
229/557 = 557/x - Step 3: Cross multiply
229x = 557 × 557 - Step 4: Simplify right side
229x = 310,249 - Step 5: Solve for x
x = 310,249/229 - Step 6: Final answer
x = 1,354.80
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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.