Finding the Third Proportional to 196,807.50 and 431,442
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Solution
The third proportional to 196,807.50 and 431,442 is: 945,808.46
Step by Step Solution
- Step 1: Write the proportion equation
196,807.50 : 431,442 = 431,442 : x - Step 2: Convert to fraction form
196,807.50/431,442 = 431,442/x - Step 3: Cross multiply
196,807.50x = 431,442 × 431,442 - Step 4: Simplify right side
196,807.50x = 186,142,199,364 - Step 5: Solve for x
x = 186,142,199,364/196,807.50 - Step 6: Final answer
x = 945,808.46
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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.