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Finding the Third Proportional to 185.73 and 336.34

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Solution

The third proportional to 185.73 and 336.34 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.73 : 336.34 = 336.34 : x
  2. Step 2: Convert to fraction form
    185.73/336.34 = 336.34/x
  3. Step 3: Cross multiply
    185.73x = 336.34 × 336.34
  4. Step 4: Simplify right side
    185.73x = 113,124.49
  5. Step 5: Solve for x
    x = 113,124.49/185.73
  6. Step 6: Final answer
    x = 609.08

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.