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Finding the Third Proportional to 140.75 and 336.88

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Solution

The third proportional to 140.75 and 336.88 is: 806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.75 : 336.88 = 336.88 : x
  2. Step 2: Convert to fraction form
    140.75/336.88 = 336.88/x
  3. Step 3: Cross multiply
    140.75x = 336.88 × 336.88
  4. Step 4: Simplify right side
    140.75x = 113,484.77
  5. Step 5: Solve for x
    x = 113,484.77/140.75
  6. Step 6: Final answer
    x = 806.29

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.