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Finding the Third Proportional to 208.69 and 374.63

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Solution

The third proportional to 208.69 and 374.63 is: 672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 374.63 = 374.63 : x
  2. Step 2: Convert to fraction form
    208.69/374.63 = 374.63/x
  3. Step 3: Cross multiply
    208.69x = 374.63 × 374.63
  4. Step 4: Simplify right side
    208.69x = 140,343.89
  5. Step 5: Solve for x
    x = 140,343.89/208.69
  6. Step 6: Final answer
    x = 672.51

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.