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Finding the Third Proportional to 179,299 and 386,262

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Solution

The third proportional to 179,299 and 386,262 is: 832,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,299 : 386,262 = 386,262 : x
  2. Step 2: Convert to fraction form
    179,299/386,262 = 386,262/x
  3. Step 3: Cross multiply
    179,299x = 386,262 × 386,262
  4. Step 4: Simplify right side
    179,299x = 149,198,332,644
  5. Step 5: Solve for x
    x = 149,198,332,644/179,299
  6. Step 6: Final answer
    x = 832,120.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.