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Finding the Third Proportional to 173.53 and 374.84

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Solution

The third proportional to 173.53 and 374.84 is: 809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.53 : 374.84 = 374.84 : x
  2. Step 2: Convert to fraction form
    173.53/374.84 = 374.84/x
  3. Step 3: Cross multiply
    173.53x = 374.84 × 374.84
  4. Step 4: Simplify right side
    173.53x = 140,501.98
  5. Step 5: Solve for x
    x = 140,501.98/173.53
  6. Step 6: Final answer
    x = 809.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.