Finding the Third Proportional to 189,413 and 408,346
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Solution
The third proportional to 189,413 and 408,346 is: 880,332.69
Step by Step Solution
- Step 1: Write the proportion equation
189,413 : 408,346 = 408,346 : x - Step 2: Convert to fraction form
189,413/408,346 = 408,346/x - Step 3: Cross multiply
189,413x = 408,346 × 408,346 - Step 4: Simplify right side
189,413x = 166,746,455,716 - Step 5: Solve for x
x = 166,746,455,716/189,413 - Step 6: Final answer
x = 880,332.69
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.