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Finding the Third Proportional to 104,356 and 225,728

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Solution

The third proportional to 104,356 and 225,728 is: 488,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,356 : 225,728 = 225,728 : x
  2. Step 2: Convert to fraction form
    104,356/225,728 = 225,728/x
  3. Step 3: Cross multiply
    104,356x = 225,728 × 225,728
  4. Step 4: Simplify right side
    104,356x = 50,953,129,984
  5. Step 5: Solve for x
    x = 50,953,129,984/104,356
  6. Step 6: Final answer
    x = 488,262.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.