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Finding the Third Proportional to 205 and 332

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Solution

The third proportional to 205 and 332 is: 537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 332 = 332 : x
  2. Step 2: Convert to fraction form
    205/332 = 332/x
  3. Step 3: Cross multiply
    205x = 332 × 332
  4. Step 4: Simplify right side
    205x = 110,224
  5. Step 5: Solve for x
    x = 110,224/205
  6. Step 6: Final answer
    x = 537.68

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.