Finding the Third Proportional to 106,043 and 230,746
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Solution
The third proportional to 106,043 and 230,746 is: 502,095.53
Step by Step Solution
- Step 1: Write the proportion equation
106,043 : 230,746 = 230,746 : x - Step 2: Convert to fraction form
106,043/230,746 = 230,746/x - Step 3: Cross multiply
106,043x = 230,746 × 230,746 - Step 4: Simplify right side
106,043x = 53,243,716,516 - Step 5: Solve for x
x = 53,243,716,516/106,043 - Step 6: Final answer
x = 502,095.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.