Finding the Third Proportional to 106,356 and 232,030
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Solution
The third proportional to 106,356 and 232,030 is: 506,204.83
Step by Step Solution
- Step 1: Write the proportion equation
106,356 : 232,030 = 232,030 : x - Step 2: Convert to fraction form
106,356/232,030 = 232,030/x - Step 3: Cross multiply
106,356x = 232,030 × 232,030 - Step 4: Simplify right side
106,356x = 53,837,920,900 - Step 5: Solve for x
x = 53,837,920,900/106,356 - Step 6: Final answer
x = 506,204.83
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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.