Finding the Third Proportional to 148,344 and 320,016
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Solution
The third proportional to 148,344 and 320,016 is: 690,356.47
Step by Step Solution
- Step 1: Write the proportion equation
148,344 : 320,016 = 320,016 : x - Step 2: Convert to fraction form
148,344/320,016 = 320,016/x - Step 3: Cross multiply
148,344x = 320,016 × 320,016 - Step 4: Simplify right side
148,344x = 102,410,240,256 - Step 5: Solve for x
x = 102,410,240,256/148,344 - Step 6: Final answer
x = 690,356.47
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.