Finding the Third Proportional to 147,392 and 320,864
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Solution
The third proportional to 147,392 and 320,864 is: 698,502.68
Step by Step Solution
- Step 1: Write the proportion equation
147,392 : 320,864 = 320,864 : x - Step 2: Convert to fraction form
147,392/320,864 = 320,864/x - Step 3: Cross multiply
147,392x = 320,864 × 320,864 - Step 4: Simplify right side
147,392x = 102,953,706,496 - Step 5: Solve for x
x = 102,953,706,496/147,392 - Step 6: Final answer
x = 698,502.68
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.