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Finding the Third Proportional to 175.71 and 263.55

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Solution

The third proportional to 175.71 and 263.55 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 263.55 = 263.55 : x
  2. Step 2: Convert to fraction form
    175.71/263.55 = 263.55/x
  3. Step 3: Cross multiply
    175.71x = 263.55 × 263.55
  4. Step 4: Simplify right side
    175.71x = 69,461.07
  5. Step 5: Solve for x
    x = 69,461.07/175.71
  6. Step 6: Final answer
    x = 395.31

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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.