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Finding the Third Proportional to 103,576 and 226,912

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Solution

The third proportional to 103,576 and 226,912 is: 497,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576 : 226,912 = 226,912 : x
  2. Step 2: Convert to fraction form
    103,576/226,912 = 226,912/x
  3. Step 3: Cross multiply
    103,576x = 226,912 × 226,912
  4. Step 4: Simplify right side
    103,576x = 51,489,055,744
  5. Step 5: Solve for x
    x = 51,489,055,744/103,576
  6. Step 6: Final answer
    x = 497,113.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.