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Finding the Third Proportional to 200.75 and 236

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Solution

The third proportional to 200.75 and 236 is: 277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 236 = 236 : x
  2. Step 2: Convert to fraction form
    200.75/236 = 236/x
  3. Step 3: Cross multiply
    200.75x = 236 × 236
  4. Step 4: Simplify right side
    200.75x = 55,696
  5. Step 5: Solve for x
    x = 55,696/200.75
  6. Step 6: Final answer
    x = 277.44

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.