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Finding the Third Proportional to 166,178.25 and 362,805.75

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Solution

The third proportional to 166,178.25 and 362,805.75 is: 792,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,178.25 : 362,805.75 = 362,805.75 : x
  2. Step 2: Convert to fraction form
    166,178.25/362,805.75 = 362,805.75/x
  3. Step 3: Cross multiply
    166,178.25x = 362,805.75 × 362,805.75
  4. Step 4: Simplify right side
    166,178.25x = 131,628,012,233.06
  5. Step 5: Solve for x
    x = 131,628,012,233.06/166,178.25
  6. Step 6: Final answer
    x = 792,089.29

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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.