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Finding the Third Proportional to 84,404 and 199,244

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Solution

The third proportional to 84,404 and 199,244 is: 470,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,404 : 199,244 = 199,244 : x
  2. Step 2: Convert to fraction form
    84,404/199,244 = 199,244/x
  3. Step 3: Cross multiply
    84,404x = 199,244 × 199,244
  4. Step 4: Simplify right side
    84,404x = 39,698,171,536
  5. Step 5: Solve for x
    x = 39,698,171,536/84,404
  6. Step 6: Final answer
    x = 470,335.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.