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Finding the Third Proportional to 106,178 and 222,580

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Solution

The third proportional to 106,178 and 222,580 is: 466,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,178 : 222,580 = 222,580 : x
  2. Step 2: Convert to fraction form
    106,178/222,580 = 222,580/x
  3. Step 3: Cross multiply
    106,178x = 222,580 × 222,580
  4. Step 4: Simplify right side
    106,178x = 49,541,856,400
  5. Step 5: Solve for x
    x = 49,541,856,400/106,178
  6. Step 6: Final answer
    x = 466,592.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.