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Finding the Third Proportional to 133.36 and 175.50

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Solution

The third proportional to 133.36 and 175.50 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 175.50 = 175.50 : x
  2. Step 2: Convert to fraction form
    133.36/175.50 = 175.50/x
  3. Step 3: Cross multiply
    133.36x = 175.50 × 175.50
  4. Step 4: Simplify right side
    133.36x = 30,800.25
  5. Step 5: Solve for x
    x = 30,800.25/133.36
  6. Step 6: Final answer
    x = 230.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.