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Finding the Third Proportional to 177.19 and 369.56

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Solution

The third proportional to 177.19 and 369.56 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 369.56 = 369.56 : x
  2. Step 2: Convert to fraction form
    177.19/369.56 = 369.56/x
  3. Step 3: Cross multiply
    177.19x = 369.56 × 369.56
  4. Step 4: Simplify right side
    177.19x = 136,576.44
  5. Step 5: Solve for x
    x = 136,576.44/177.19
  6. Step 6: Final answer
    x = 770.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.