Finding the Third Proportional to 147 and 357
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Solution
The third proportional to 147 and 357 is: 867
Step by Step Solution
- Step 1: Write the proportion equation
147 : 357 = 357 : x - Step 2: Convert to fraction form
147/357 = 357/x - Step 3: Cross multiply
147x = 357 × 357 - Step 4: Simplify right side
147x = 127,449 - Step 5: Solve for x
x = 127,449/147 - Step 6: Final answer
x = 867
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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.