Finding the Third Proportional to 142,897.50 and 305,478
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Solution
The third proportional to 142,897.50 and 305,478 is: 653,033.18
Step by Step Solution
- Step 1: Write the proportion equation
142,897.50 : 305,478 = 305,478 : x - Step 2: Convert to fraction form
142,897.50/305,478 = 305,478/x - Step 3: Cross multiply
142,897.50x = 305,478 × 305,478 - Step 4: Simplify right side
142,897.50x = 93,316,808,484 - Step 5: Solve for x
x = 93,316,808,484/142,897.50 - Step 6: Final answer
x = 653,033.18
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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.