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Finding the Third Proportional to 173.67 and 377.53

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Solution

The third proportional to 173.67 and 377.53 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.67 : 377.53 = 377.53 : x
  2. Step 2: Convert to fraction form
    173.67/377.53 = 377.53/x
  3. Step 3: Cross multiply
    173.67x = 377.53 × 377.53
  4. Step 4: Simplify right side
    173.67x = 142,529.84
  5. Step 5: Solve for x
    x = 142,529.84/173.67
  6. Step 6: Final answer
    x = 820.68

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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.