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Finding the Third Proportional to 103,472 and 225,898

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Solution

The third proportional to 103,472 and 225,898 is: 493,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472 : 225,898 = 225,898 : x
  2. Step 2: Convert to fraction form
    103,472/225,898 = 225,898/x
  3. Step 3: Cross multiply
    103,472x = 225,898 × 225,898
  4. Step 4: Simplify right side
    103,472x = 51,029,906,404
  5. Step 5: Solve for x
    x = 51,029,906,404/103,472
  6. Step 6: Final answer
    x = 493,175.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.