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Finding the Third Proportional to 163.27 and 357.86

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Solution

The third proportional to 163.27 and 357.86 is: 784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 357.86 = 357.86 : x
  2. Step 2: Convert to fraction form
    163.27/357.86 = 357.86/x
  3. Step 3: Cross multiply
    163.27x = 357.86 × 357.86
  4. Step 4: Simplify right side
    163.27x = 128,060.54
  5. Step 5: Solve for x
    x = 128,060.54/163.27
  6. Step 6: Final answer
    x = 784.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.