Finding the Third Proportional to 258,178 and 559,247
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Solution
The third proportional to 258,178 and 559,247 is: 1,211,401.46
Step by Step Solution
- Step 1: Write the proportion equation
258,178 : 559,247 = 559,247 : x - Step 2: Convert to fraction form
258,178/559,247 = 559,247/x - Step 3: Cross multiply
258,178x = 559,247 × 559,247 - Step 4: Simplify right side
258,178x = 312,757,207,009 - Step 5: Solve for x
x = 312,757,207,009/258,178 - Step 6: Final answer
x = 1,211,401.46
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.