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Finding the Third Proportional to 106,290 and 224,576

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Solution

The third proportional to 106,290 and 224,576 is: 474,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,290 : 224,576 = 224,576 : x
  2. Step 2: Convert to fraction form
    106,290/224,576 = 224,576/x
  3. Step 3: Cross multiply
    106,290x = 224,576 × 224,576
  4. Step 4: Simplify right side
    106,290x = 50,434,379,776
  5. Step 5: Solve for x
    x = 50,434,379,776/106,290
  6. Step 6: Final answer
    x = 474,497.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.