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Finding the Third Proportional to 205 and 328

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Solution

The third proportional to 205 and 328 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 328 = 328 : x
  2. Step 2: Convert to fraction form
    205/328 = 328/x
  3. Step 3: Cross multiply
    205x = 328 × 328
  4. Step 4: Simplify right side
    205x = 107,584
  5. Step 5: Solve for x
    x = 107,584/205
  6. Step 6: Final answer
    x = 524.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.