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Finding the Third Proportional to 177,318 and 384,777

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Solution

The third proportional to 177,318 and 384,777 is: 834,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,318 : 384,777 = 384,777 : x
  2. Step 2: Convert to fraction form
    177,318/384,777 = 384,777/x
  3. Step 3: Cross multiply
    177,318x = 384,777 × 384,777
  4. Step 4: Simplify right side
    177,318x = 148,053,339,729
  5. Step 5: Solve for x
    x = 148,053,339,729/177,318
  6. Step 6: Final answer
    x = 834,959.45

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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.