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Finding the Third Proportional to 179,092 and 386,162

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Solution

The third proportional to 179,092 and 386,162 is: 832,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,092 : 386,162 = 386,162 : x
  2. Step 2: Convert to fraction form
    179,092/386,162 = 386,162/x
  3. Step 3: Cross multiply
    179,092x = 386,162 × 386,162
  4. Step 4: Simplify right side
    179,092x = 149,121,090,244
  5. Step 5: Solve for x
    x = 149,121,090,244/179,092
  6. Step 6: Final answer
    x = 832,650.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.