Finding the Third Proportional to 156,942 and 343,024
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Solution
The third proportional to 156,942 and 343,024 is: 749,738.53
Step by Step Solution
- Step 1: Write the proportion equation
156,942 : 343,024 = 343,024 : x - Step 2: Convert to fraction form
156,942/343,024 = 343,024/x - Step 3: Cross multiply
156,942x = 343,024 × 343,024 - Step 4: Simplify right side
156,942x = 117,665,464,576 - Step 5: Solve for x
x = 117,665,464,576/156,942 - Step 6: Final answer
x = 749,738.53
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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.