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Finding the Third Proportional to 116,667 and 256,662

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Solution

The third proportional to 116,667 and 256,662 is: 564,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,667 : 256,662 = 256,662 : x
  2. Step 2: Convert to fraction form
    116,667/256,662 = 256,662/x
  3. Step 3: Cross multiply
    116,667x = 256,662 × 256,662
  4. Step 4: Simplify right side
    116,667x = 65,875,382,244
  5. Step 5: Solve for x
    x = 65,875,382,244/116,667
  6. Step 6: Final answer
    x = 564,644.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.