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Finding the Third Proportional to 85,558 and 186,950

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Solution

The third proportional to 85,558 and 186,950 is: 408,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,558 : 186,950 = 186,950 : x
  2. Step 2: Convert to fraction form
    85,558/186,950 = 186,950/x
  3. Step 3: Cross multiply
    85,558x = 186,950 × 186,950
  4. Step 4: Simplify right side
    85,558x = 34,950,302,500
  5. Step 5: Solve for x
    x = 34,950,302,500/85,558
  6. Step 6: Final answer
    x = 408,498.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.