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Finding the Third Proportional to 177,791 and 385,093

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Solution

The third proportional to 177,791 and 385,093 is: 834,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,791 : 385,093 = 385,093 : x
  2. Step 2: Convert to fraction form
    177,791/385,093 = 385,093/x
  3. Step 3: Cross multiply
    177,791x = 385,093 × 385,093
  4. Step 4: Simplify right side
    177,791x = 148,296,618,649
  5. Step 5: Solve for x
    x = 148,296,618,649/177,791
  6. Step 6: Final answer
    x = 834,106.44

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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.