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Finding the Third Proportional to 73.41 and 169.59

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Solution

The third proportional to 73.41 and 169.59 is: 391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 169.59 = 169.59 : x
  2. Step 2: Convert to fraction form
    73.41/169.59 = 169.59/x
  3. Step 3: Cross multiply
    73.41x = 169.59 × 169.59
  4. Step 4: Simplify right side
    73.41x = 28,762.04
  5. Step 5: Solve for x
    x = 28,762.04/73.41
  6. Step 6: Final answer
    x = 391.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.