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Finding the Third Proportional to 86,744 and 200,800

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Solution

The third proportional to 86,744 and 200,800 is: 464,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744 : 200,800 = 200,800 : x
  2. Step 2: Convert to fraction form
    86,744/200,800 = 200,800/x
  3. Step 3: Cross multiply
    86,744x = 200,800 × 200,800
  4. Step 4: Simplify right side
    86,744x = 40,320,640,000
  5. Step 5: Solve for x
    x = 40,320,640,000/86,744
  6. Step 6: Final answer
    x = 464,823.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.