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Finding the Third Proportional to 134.05 and 201.76

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Solution

The third proportional to 134.05 and 201.76 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.05 : 201.76 = 201.76 : x
  2. Step 2: Convert to fraction form
    134.05/201.76 = 201.76/x
  3. Step 3: Cross multiply
    134.05x = 201.76 × 201.76
  4. Step 4: Simplify right side
    134.05x = 40,707.79
  5. Step 5: Solve for x
    x = 40,707.79/134.05
  6. Step 6: Final answer
    x = 303.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.