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Finding the Third Proportional to 175.56 and 263.94

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Solution

The third proportional to 175.56 and 263.94 is: 396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 263.94 = 263.94 : x
  2. Step 2: Convert to fraction form
    175.56/263.94 = 263.94/x
  3. Step 3: Cross multiply
    175.56x = 263.94 × 263.94
  4. Step 4: Simplify right side
    175.56x = 69,663.00
  5. Step 5: Solve for x
    x = 69,663.00/175.56
  6. Step 6: Final answer
    x = 396.80

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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.