Finding the Third Proportional to 120,169.25 and 278,184
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Solution
The third proportional to 120,169.25 and 278,184 is: 643,977.87
Step by Step Solution
- Step 1: Write the proportion equation
120,169.25 : 278,184 = 278,184 : x - Step 2: Convert to fraction form
120,169.25/278,184 = 278,184/x - Step 3: Cross multiply
120,169.25x = 278,184 × 278,184 - Step 4: Simplify right side
120,169.25x = 77,386,337,856 - Step 5: Solve for x
x = 77,386,337,856/120,169.25 - Step 6: Final answer
x = 643,977.87
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.