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Finding the Third Proportional to 176.03 and 411.22

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Solution

The third proportional to 176.03 and 411.22 is: 960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.03 : 411.22 = 411.22 : x
  2. Step 2: Convert to fraction form
    176.03/411.22 = 411.22/x
  3. Step 3: Cross multiply
    176.03x = 411.22 × 411.22
  4. Step 4: Simplify right side
    176.03x = 169,104.07
  5. Step 5: Solve for x
    x = 169,104.07/176.03
  6. Step 6: Final answer
    x = 960.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.