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Finding the Third Proportional to 106,376 and 226,576

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Solution

The third proportional to 106,376 and 226,576 is: 482,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,376 : 226,576 = 226,576 : x
  2. Step 2: Convert to fraction form
    106,376/226,576 = 226,576/x
  3. Step 3: Cross multiply
    106,376x = 226,576 × 226,576
  4. Step 4: Simplify right side
    106,376x = 51,336,683,776
  5. Step 5: Solve for x
    x = 51,336,683,776/106,376
  6. Step 6: Final answer
    x = 482,596.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.