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Finding the Third Proportional to 86,180 and 186,197

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Solution

The third proportional to 86,180 and 186,197 is: 402,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,180 : 186,197 = 186,197 : x
  2. Step 2: Convert to fraction form
    86,180/186,197 = 186,197/x
  3. Step 3: Cross multiply
    86,180x = 186,197 × 186,197
  4. Step 4: Simplify right side
    86,180x = 34,669,322,809
  5. Step 5: Solve for x
    x = 34,669,322,809/86,180
  6. Step 6: Final answer
    x = 402,289.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.