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Finding the Third Proportional to 86,867 and 188,394

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Solution

The third proportional to 86,867 and 188,394 is: 408,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,867 : 188,394 = 188,394 : x
  2. Step 2: Convert to fraction form
    86,867/188,394 = 188,394/x
  3. Step 3: Cross multiply
    86,867x = 188,394 × 188,394
  4. Step 4: Simplify right side
    86,867x = 35,492,299,236
  5. Step 5: Solve for x
    x = 35,492,299,236/86,867
  6. Step 6: Final answer
    x = 408,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.