Finding the Third Proportional to 164,177 and 359,494
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Solution
The third proportional to 164,177 and 359,494 is: 787,174.43
Step by Step Solution
- Step 1: Write the proportion equation
164,177 : 359,494 = 359,494 : x - Step 2: Convert to fraction form
164,177/359,494 = 359,494/x - Step 3: Cross multiply
164,177x = 359,494 × 359,494 - Step 4: Simplify right side
164,177x = 129,235,936,036 - Step 5: Solve for x
x = 129,235,936,036/164,177 - Step 6: Final answer
x = 787,174.43
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.