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Finding the Third Proportional to 207.88 and 492.44

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Solution

The third proportional to 207.88 and 492.44 is: 1,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 492.44 = 492.44 : x
  2. Step 2: Convert to fraction form
    207.88/492.44 = 492.44/x
  3. Step 3: Cross multiply
    207.88x = 492.44 × 492.44
  4. Step 4: Simplify right side
    207.88x = 242,494.69
  5. Step 5: Solve for x
    x = 242,494.69/207.88
  6. Step 6: Final answer
    x = 1,166.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.