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Finding the Third Proportional to 75.46 and 163.74

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Solution

The third proportional to 75.46 and 163.74 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 163.74 = 163.74 : x
  2. Step 2: Convert to fraction form
    75.46/163.74 = 163.74/x
  3. Step 3: Cross multiply
    75.46x = 163.74 × 163.74
  4. Step 4: Simplify right side
    75.46x = 26,810.86
  5. Step 5: Solve for x
    x = 26,810.86/75.46
  6. Step 6: Final answer
    x = 355.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.