Finding the Third Proportional to 205,092 and 430,914.94
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Solution
The third proportional to 205,092 and 430,914.94 is: 905,387.26
Step by Step Solution
- Step 1: Write the proportion equation
205,092 : 430,914.94 = 430,914.94 : x - Step 2: Convert to fraction form
205,092/430,914.94 = 430,914.94/x - Step 3: Cross multiply
205,092x = 430,914.94 × 430,914.94 - Step 4: Simplify right side
205,092x = 185,687,683,360.63 - Step 5: Solve for x
x = 185,687,683,360.63/205,092 - Step 6: Final answer
x = 905,387.26
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.