Finding the Third Proportional to 140,214.68 and 217,524.27
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Solution
The third proportional to 140,214.68 and 217,524.27 is: 337,459.75
Step by Step Solution
- Step 1: Write the proportion equation
140,214.68 : 217,524.27 = 217,524.27 : x - Step 2: Convert to fraction form
140,214.68/217,524.27 = 217,524.27/x - Step 3: Cross multiply
140,214.68x = 217,524.27 × 217,524.27 - Step 4: Simplify right side
140,214.68x = 47,316,809,746.94 - Step 5: Solve for x
x = 47,316,809,746.94/140,214.68 - Step 6: Final answer
x = 337,459.75
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.