Finding the Third Proportional to 165,282 and 356,799
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Solution
The third proportional to 165,282 and 356,799 is: 770,232.25
Step by Step Solution
- Step 1: Write the proportion equation
165,282 : 356,799 = 356,799 : x - Step 2: Convert to fraction form
165,282/356,799 = 356,799/x - Step 3: Cross multiply
165,282x = 356,799 × 356,799 - Step 4: Simplify right side
165,282x = 127,305,526,401 - Step 5: Solve for x
x = 127,305,526,401/165,282 - Step 6: Final answer
x = 770,232.25
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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.