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Finding the Third Proportional to 106,176 and 222,576

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Solution

The third proportional to 106,176 and 222,576 is: 466,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,176 : 222,576 = 222,576 : x
  2. Step 2: Convert to fraction form
    106,176/222,576 = 222,576/x
  3. Step 3: Cross multiply
    106,176x = 222,576 × 222,576
  4. Step 4: Simplify right side
    106,176x = 49,540,075,776
  5. Step 5: Solve for x
    x = 49,540,075,776/106,176
  6. Step 6: Final answer
    x = 466,584.50

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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.