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Finding the Third Proportional to 172.76 and 263.67

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Solution

The third proportional to 172.76 and 263.67 is: 402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 263.67 = 263.67 : x
  2. Step 2: Convert to fraction form
    172.76/263.67 = 263.67/x
  3. Step 3: Cross multiply
    172.76x = 263.67 × 263.67
  4. Step 4: Simplify right side
    172.76x = 69,522.86
  5. Step 5: Solve for x
    x = 69,522.86/172.76
  6. Step 6: Final answer
    x = 402.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.