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Finding the Third Proportional to 84,662 and 186,034

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Solution

The third proportional to 84,662 and 186,034 is: 408,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,662 : 186,034 = 186,034 : x
  2. Step 2: Convert to fraction form
    84,662/186,034 = 186,034/x
  3. Step 3: Cross multiply
    84,662x = 186,034 × 186,034
  4. Step 4: Simplify right side
    84,662x = 34,608,649,156
  5. Step 5: Solve for x
    x = 34,608,649,156/84,662
  6. Step 6: Final answer
    x = 408,786.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.