Finding the Third Proportional to 189,345 and 405,282
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Solution
The third proportional to 189,345 and 405,282 is: 867,482.63
Step by Step Solution
- Step 1: Write the proportion equation
189,345 : 405,282 = 405,282 : x - Step 2: Convert to fraction form
189,345/405,282 = 405,282/x - Step 3: Cross multiply
189,345x = 405,282 × 405,282 - Step 4: Simplify right side
189,345x = 164,253,499,524 - Step 5: Solve for x
x = 164,253,499,524/189,345 - Step 6: Final answer
x = 867,482.63
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.