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Finding the Third Proportional to 213,876 and 299,004

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Solution

The third proportional to 213,876 and 299,004 is: 418,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876 : 299,004 = 299,004 : x
  2. Step 2: Convert to fraction form
    213,876/299,004 = 299,004/x
  3. Step 3: Cross multiply
    213,876x = 299,004 × 299,004
  4. Step 4: Simplify right side
    213,876x = 89,403,392,016
  5. Step 5: Solve for x
    x = 89,403,392,016/213,876
  6. Step 6: Final answer
    x = 418,015.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.