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Finding the Third Proportional to 76.92 and 200.18

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Solution

The third proportional to 76.92 and 200.18 is: 520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 200.18 = 200.18 : x
  2. Step 2: Convert to fraction form
    76.92/200.18 = 200.18/x
  3. Step 3: Cross multiply
    76.92x = 200.18 × 200.18
  4. Step 4: Simplify right side
    76.92x = 40,071.91
  5. Step 5: Solve for x
    x = 40,071.91/76.92
  6. Step 6: Final answer
    x = 520.94

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.