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Finding the Third Proportional to 205 and 277

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Solution

The third proportional to 205 and 277 is: 374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 277 = 277 : x
  2. Step 2: Convert to fraction form
    205/277 = 277/x
  3. Step 3: Cross multiply
    205x = 277 × 277
  4. Step 4: Simplify right side
    205x = 76,729
  5. Step 5: Solve for x
    x = 76,729/205
  6. Step 6: Final answer
    x = 374.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.