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Finding the Third Proportional to 85,177 and 185,268

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Solution

The third proportional to 85,177 and 185,268 is: 402,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,177 : 185,268 = 185,268 : x
  2. Step 2: Convert to fraction form
    85,177/185,268 = 185,268/x
  3. Step 3: Cross multiply
    85,177x = 185,268 × 185,268
  4. Step 4: Simplify right side
    85,177x = 34,324,231,824
  5. Step 5: Solve for x
    x = 34,324,231,824/85,177
  6. Step 6: Final answer
    x = 402,975.36

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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.