Finding the Third Proportional to 114,122 and 254,470
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Solution
The third proportional to 114,122 and 254,470 is: 567,418.91
Step by Step Solution
- Step 1: Write the proportion equation
114,122 : 254,470 = 254,470 : x - Step 2: Convert to fraction form
114,122/254,470 = 254,470/x - Step 3: Cross multiply
114,122x = 254,470 × 254,470 - Step 4: Simplify right side
114,122x = 64,754,980,900 - Step 5: Solve for x
x = 64,754,980,900/114,122 - Step 6: Final answer
x = 567,418.91
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.