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Finding the Third Proportional to 134.02 and 200.46

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Solution

The third proportional to 134.02 and 200.46 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.02 : 200.46 = 200.46 : x
  2. Step 2: Convert to fraction form
    134.02/200.46 = 200.46/x
  3. Step 3: Cross multiply
    134.02x = 200.46 × 200.46
  4. Step 4: Simplify right side
    134.02x = 40,184.59
  5. Step 5: Solve for x
    x = 40,184.59/134.02
  6. Step 6: Final answer
    x = 299.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.