Finding the Third Proportional to 259 and 309
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Solution
The third proportional to 259 and 309 is: 368.65
Step by Step Solution
- Step 1: Write the proportion equation
259 : 309 = 309 : x - Step 2: Convert to fraction form
259/309 = 309/x - Step 3: Cross multiply
259x = 309 × 309 - Step 4: Simplify right side
259x = 95,481 - Step 5: Solve for x
x = 95,481/259 - Step 6: Final answer
x = 368.65
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.