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Finding the Third Proportional to 208.88 and 492.94

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Solution

The third proportional to 208.88 and 492.94 is: 1,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.88 : 492.94 = 492.94 : x
  2. Step 2: Convert to fraction form
    208.88/492.94 = 492.94/x
  3. Step 3: Cross multiply
    208.88x = 492.94 × 492.94
  4. Step 4: Simplify right side
    208.88x = 242,987.38
  5. Step 5: Solve for x
    x = 242,987.38/208.88
  6. Step 6: Final answer
    x = 1,163.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.