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Finding the Third Proportional to 204.50 and 265.38

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Solution

The third proportional to 204.50 and 265.38 is: 344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.50 : 265.38 = 265.38 : x
  2. Step 2: Convert to fraction form
    204.50/265.38 = 265.38/x
  3. Step 3: Cross multiply
    204.50x = 265.38 × 265.38
  4. Step 4: Simplify right side
    204.50x = 70,423.89
  5. Step 5: Solve for x
    x = 70,423.89/204.50
  6. Step 6: Final answer
    x = 344.37

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.