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Finding the Third Proportional to 205.88 and 455.63

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Solution

The third proportional to 205.88 and 455.63 is: 1,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 455.63 = 455.63 : x
  2. Step 2: Convert to fraction form
    205.88/455.63 = 455.63/x
  3. Step 3: Cross multiply
    205.88x = 455.63 × 455.63
  4. Step 4: Simplify right side
    205.88x = 207,594.14
  5. Step 5: Solve for x
    x = 207,594.14/205.88
  6. Step 6: Final answer
    x = 1,008.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.