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Finding the Third Proportional to 176.81 and 204.56

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Solution

The third proportional to 176.81 and 204.56 is: 236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 204.56 = 204.56 : x
  2. Step 2: Convert to fraction form
    176.81/204.56 = 204.56/x
  3. Step 3: Cross multiply
    176.81x = 204.56 × 204.56
  4. Step 4: Simplify right side
    176.81x = 41,845.82
  5. Step 5: Solve for x
    x = 41,845.82/176.81
  6. Step 6: Final answer
    x = 236.67

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.