Finding the Third Proportional to 230,146 and 492,272
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Solution
The third proportional to 230,146 and 492,272 is: 1,052,947.79
Step by Step Solution
- Step 1: Write the proportion equation
230,146 : 492,272 = 492,272 : x - Step 2: Convert to fraction form
230,146/492,272 = 492,272/x - Step 3: Cross multiply
230,146x = 492,272 × 492,272 - Step 4: Simplify right side
230,146x = 242,331,721,984 - Step 5: Solve for x
x = 242,331,721,984/230,146 - Step 6: Final answer
x = 1,052,947.79
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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.