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Finding the Third Proportional to 208.98 and 452.84

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Solution

The third proportional to 208.98 and 452.84 is: 981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 452.84 = 452.84 : x
  2. Step 2: Convert to fraction form
    208.98/452.84 = 452.84/x
  3. Step 3: Cross multiply
    208.98x = 452.84 × 452.84
  4. Step 4: Simplify right side
    208.98x = 205,067.46
  5. Step 5: Solve for x
    x = 205,067.46/208.98
  6. Step 6: Final answer
    x = 981.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.