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Finding the Third Proportional to 182,097 and 386,793

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Solution

The third proportional to 182,097 and 386,793 is: 821,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,097 : 386,793 = 386,793 : x
  2. Step 2: Convert to fraction form
    182,097/386,793 = 386,793/x
  3. Step 3: Cross multiply
    182,097x = 386,793 × 386,793
  4. Step 4: Simplify right side
    182,097x = 149,608,824,849
  5. Step 5: Solve for x
    x = 149,608,824,849/182,097
  6. Step 6: Final answer
    x = 821,588.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.