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Finding the Third Proportional to 146.53 and 200.67

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Solution

The third proportional to 146.53 and 200.67 is: 274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 200.67 = 200.67 : x
  2. Step 2: Convert to fraction form
    146.53/200.67 = 200.67/x
  3. Step 3: Cross multiply
    146.53x = 200.67 × 200.67
  4. Step 4: Simplify right side
    146.53x = 40,269.20
  5. Step 5: Solve for x
    x = 40,269.20/146.53
  6. Step 6: Final answer
    x = 274.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.