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Finding the Third Proportional to 177,531.75 and 384,608.25

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Solution

The third proportional to 177,531.75 and 384,608.25 is: 833,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,531.75 : 384,608.25 = 384,608.25 : x
  2. Step 2: Convert to fraction form
    177,531.75/384,608.25 = 384,608.25/x
  3. Step 3: Cross multiply
    177,531.75x = 384,608.25 × 384,608.25
  4. Step 4: Simplify right side
    177,531.75x = 147,923,505,968.06
  5. Step 5: Solve for x
    x = 147,923,505,968.06/177,531.75
  6. Step 6: Final answer
    x = 833,222.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.