Finding the Third Proportional to 157,996 and 338,228
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Solution
The third proportional to 157,996 and 338,228 is: 724,057.44
Step by Step Solution
- Step 1: Write the proportion equation
157,996 : 338,228 = 338,228 : x - Step 2: Convert to fraction form
157,996/338,228 = 338,228/x - Step 3: Cross multiply
157,996x = 338,228 × 338,228 - Step 4: Simplify right side
157,996x = 114,398,179,984 - Step 5: Solve for x
x = 114,398,179,984/157,996 - Step 6: Final answer
x = 724,057.44
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.