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Finding the Third Proportional to 177,041 and 389,074

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Solution

The third proportional to 177,041 and 389,074 is: 855,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,041 : 389,074 = 389,074 : x
  2. Step 2: Convert to fraction form
    177,041/389,074 = 389,074/x
  3. Step 3: Cross multiply
    177,041x = 389,074 × 389,074
  4. Step 4: Simplify right side
    177,041x = 151,378,577,476
  5. Step 5: Solve for x
    x = 151,378,577,476/177,041
  6. Step 6: Final answer
    x = 855,048.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.