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Finding the Third Proportional to 104,533 and 225,832

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Solution

The third proportional to 104,533 and 225,832 is: 487,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,533 : 225,832 = 225,832 : x
  2. Step 2: Convert to fraction form
    104,533/225,832 = 225,832/x
  3. Step 3: Cross multiply
    104,533x = 225,832 × 225,832
  4. Step 4: Simplify right side
    104,533x = 51,000,092,224
  5. Step 5: Solve for x
    x = 51,000,092,224/104,533
  6. Step 6: Final answer
    x = 487,885.09

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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.