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Finding the Third Proportional to 205.75 and 305.75

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Solution

The third proportional to 205.75 and 305.75 is: 454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 305.75 = 305.75 : x
  2. Step 2: Convert to fraction form
    205.75/305.75 = 305.75/x
  3. Step 3: Cross multiply
    205.75x = 305.75 × 305.75
  4. Step 4: Simplify right side
    205.75x = 93,483.06
  5. Step 5: Solve for x
    x = 93,483.06/205.75
  6. Step 6: Final answer
    x = 454.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.