Finding the Third Proportional to 73,214 and 160,684
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Solution
The third proportional to 73,214 and 160,684 is: 352,655.88
Step by Step Solution
- Step 1: Write the proportion equation
73,214 : 160,684 = 160,684 : x - Step 2: Convert to fraction form
73,214/160,684 = 160,684/x - Step 3: Cross multiply
73,214x = 160,684 × 160,684 - Step 4: Simplify right side
73,214x = 25,819,347,856 - Step 5: Solve for x
x = 25,819,347,856/73,214 - Step 6: Final answer
x = 352,655.88
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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.