Finding the Third Proportional to 233,543.41 and 313,813.14
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Solution
The third proportional to 233,543.41 and 313,813.14 is: 421,671.88
Step by Step Solution
- Step 1: Write the proportion equation
233,543.41 : 313,813.14 = 313,813.14 : x - Step 2: Convert to fraction form
233,543.41/313,813.14 = 313,813.14/x - Step 3: Cross multiply
233,543.41x = 313,813.14 × 313,813.14 - Step 4: Simplify right side
233,543.41x = 98,478,688,454.76 - Step 5: Solve for x
x = 98,478,688,454.76/233,543.41 - Step 6: Final answer
x = 421,671.88
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.