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Finding the Third Proportional to 174.02 and 377.79

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Solution

The third proportional to 174.02 and 377.79 is: 820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 377.79 = 377.79 : x
  2. Step 2: Convert to fraction form
    174.02/377.79 = 377.79/x
  3. Step 3: Cross multiply
    174.02x = 377.79 × 377.79
  4. Step 4: Simplify right side
    174.02x = 142,724.58
  5. Step 5: Solve for x
    x = 142,724.58/174.02
  6. Step 6: Final answer
    x = 820.15

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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.