Finding the Third Proportional to 156,946 and 343,036
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Solution
The third proportional to 156,946 and 343,036 is: 749,771.88
Step by Step Solution
- Step 1: Write the proportion equation
156,946 : 343,036 = 343,036 : x - Step 2: Convert to fraction form
156,946/343,036 = 343,036/x - Step 3: Cross multiply
156,946x = 343,036 × 343,036 - Step 4: Simplify right side
156,946x = 117,673,697,296 - Step 5: Solve for x
x = 117,673,697,296/156,946 - Step 6: Final answer
x = 749,771.88
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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.