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Finding the Third Proportional to 336.94 and 505.97

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Solution

The third proportional to 336.94 and 505.97 is: 759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.94 : 505.97 = 505.97 : x
  2. Step 2: Convert to fraction form
    336.94/505.97 = 505.97/x
  3. Step 3: Cross multiply
    336.94x = 505.97 × 505.97
  4. Step 4: Simplify right side
    336.94x = 256,004.38
  5. Step 5: Solve for x
    x = 256,004.38/336.94
  6. Step 6: Final answer
    x = 759.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.