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Finding the Third Proportional to 86,028 and 185,241

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Solution

The third proportional to 86,028 and 185,241 is: 398,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028 : 185,241 = 185,241 : x
  2. Step 2: Convert to fraction form
    86,028/185,241 = 185,241/x
  3. Step 3: Cross multiply
    86,028x = 185,241 × 185,241
  4. Step 4: Simplify right side
    86,028x = 34,314,228,081
  5. Step 5: Solve for x
    x = 34,314,228,081/86,028
  6. Step 6: Final answer
    x = 398,872.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.