Finding the Third Proportional to 164,729 and 360,976
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Solution
The third proportional to 164,729 and 360,976 is: 791,018.42
Step by Step Solution
- Step 1: Write the proportion equation
164,729 : 360,976 = 360,976 : x - Step 2: Convert to fraction form
164,729/360,976 = 360,976/x - Step 3: Cross multiply
164,729x = 360,976 × 360,976 - Step 4: Simplify right side
164,729x = 130,303,672,576 - Step 5: Solve for x
x = 130,303,672,576/164,729 - Step 6: Final answer
x = 791,018.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.