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Finding the Third Proportional to 177,048 and 368,976

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Solution

The third proportional to 177,048 and 368,976 is: 768,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048 : 368,976 = 368,976 : x
  2. Step 2: Convert to fraction form
    177,048/368,976 = 368,976/x
  3. Step 3: Cross multiply
    177,048x = 368,976 × 368,976
  4. Step 4: Simplify right side
    177,048x = 136,143,288,576
  5. Step 5: Solve for x
    x = 136,143,288,576/177,048
  6. Step 6: Final answer
    x = 768,962.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.