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Finding the Third Proportional to 187,609.50 and 408,267

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Solution

The third proportional to 187,609.50 and 408,267 is: 888,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,609.50 : 408,267 = 408,267 : x
  2. Step 2: Convert to fraction form
    187,609.50/408,267 = 408,267/x
  3. Step 3: Cross multiply
    187,609.50x = 408,267 × 408,267
  4. Step 4: Simplify right side
    187,609.50x = 166,681,943,289
  5. Step 5: Solve for x
    x = 166,681,943,289/187,609.50
  6. Step 6: Final answer
    x = 888,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.