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Finding the Third Proportional to 205.88 and 540.56

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Solution

The third proportional to 205.88 and 540.56 is: 1,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 540.56 = 540.56 : x
  2. Step 2: Convert to fraction form
    205.88/540.56 = 540.56/x
  3. Step 3: Cross multiply
    205.88x = 540.56 × 540.56
  4. Step 4: Simplify right side
    205.88x = 292,207.82
  5. Step 5: Solve for x
    x = 292,207.82/205.88
  6. Step 6: Final answer
    x = 1,419.35

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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.