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Finding the Third Proportional to 169.03 and 200.72

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Solution

The third proportional to 169.03 and 200.72 is: 238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 200.72 = 200.72 : x
  2. Step 2: Convert to fraction form
    169.03/200.72 = 200.72/x
  3. Step 3: Cross multiply
    169.03x = 200.72 × 200.72
  4. Step 4: Simplify right side
    169.03x = 40,288.02
  5. Step 5: Solve for x
    x = 40,288.02/169.03
  6. Step 6: Final answer
    x = 238.35

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.