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Finding the Third Proportional to 205.50 and 540.75

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Solution

The third proportional to 205.50 and 540.75 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 540.75 = 540.75 : x
  2. Step 2: Convert to fraction form
    205.50/540.75 = 540.75/x
  3. Step 3: Cross multiply
    205.50x = 540.75 × 540.75
  4. Step 4: Simplify right side
    205.50x = 292,410.56
  5. Step 5: Solve for x
    x = 292,410.56/205.50
  6. Step 6: Final answer
    x = 1,422.92

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.