Finding the Third Proportional to 232,197.75 and 354,948.75
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Solution
The third proportional to 232,197.75 and 354,948.75 is: 542,591.89
Step by Step Solution
- Step 1: Write the proportion equation
232,197.75 : 354,948.75 = 354,948.75 : x - Step 2: Convert to fraction form
232,197.75/354,948.75 = 354,948.75/x - Step 3: Cross multiply
232,197.75x = 354,948.75 × 354,948.75 - Step 4: Simplify right side
232,197.75x = 125,988,615,126.56 - Step 5: Solve for x
x = 125,988,615,126.56/232,197.75 - Step 6: Final answer
x = 542,591.89
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.