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Finding the Third Proportional to 86,654.25 and 186,243.75

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Solution

The third proportional to 86,654.25 and 186,243.75 is: 400,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,654.25 : 186,243.75 = 186,243.75 : x
  2. Step 2: Convert to fraction form
    86,654.25/186,243.75 = 186,243.75/x
  3. Step 3: Cross multiply
    86,654.25x = 186,243.75 × 186,243.75
  4. Step 4: Simplify right side
    86,654.25x = 34,686,734,414.06
  5. Step 5: Solve for x
    x = 34,686,734,414.06/86,654.25
  6. Step 6: Final answer
    x = 400,288.90

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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.