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Finding the Third Proportional to 177,608 and 377,824

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Solution

The third proportional to 177,608 and 377,824 is: 803,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,608 : 377,824 = 377,824 : x
  2. Step 2: Convert to fraction form
    177,608/377,824 = 377,824/x
  3. Step 3: Cross multiply
    177,608x = 377,824 × 377,824
  4. Step 4: Simplify right side
    177,608x = 142,750,974,976
  5. Step 5: Solve for x
    x = 142,750,974,976/177,608
  6. Step 6: Final answer
    x = 803,741.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.