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Finding the Third Proportional to 169.88 and 374.81

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Solution

The third proportional to 169.88 and 374.81 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.88 : 374.81 = 374.81 : x
  2. Step 2: Convert to fraction form
    169.88/374.81 = 374.81/x
  3. Step 3: Cross multiply
    169.88x = 374.81 × 374.81
  4. Step 4: Simplify right side
    169.88x = 140,484.41
  5. Step 5: Solve for x
    x = 140,484.41/169.88
  6. Step 6: Final answer
    x = 826.99

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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.