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Finding the Third Proportional to 86,816.25 and 176,046.75

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Solution

The third proportional to 86,816.25 and 176,046.75 is: 356,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816.25 : 176,046.75 = 176,046.75 : x
  2. Step 2: Convert to fraction form
    86,816.25/176,046.75 = 176,046.75/x
  3. Step 3: Cross multiply
    86,816.25x = 176,046.75 × 176,046.75
  4. Step 4: Simplify right side
    86,816.25x = 30,992,458,185.56
  5. Step 5: Solve for x
    x = 30,992,458,185.56/86,816.25
  6. Step 6: Final answer
    x = 356,989.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.