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Finding the Third Proportional to 103,437 and 225,828

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Solution

The third proportional to 103,437 and 225,828 is: 493,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,437 : 225,828 = 225,828 : x
  2. Step 2: Convert to fraction form
    103,437/225,828 = 225,828/x
  3. Step 3: Cross multiply
    103,437x = 225,828 × 225,828
  4. Step 4: Simplify right side
    103,437x = 50,998,285,584
  5. Step 5: Solve for x
    x = 50,998,285,584/103,437
  6. Step 6: Final answer
    x = 493,037.17

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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.