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Finding the Third Proportional to 104,546 and 225,796

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Solution

The third proportional to 104,546 and 225,796 is: 487,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,546 : 225,796 = 225,796 : x
  2. Step 2: Convert to fraction form
    104,546/225,796 = 225,796/x
  3. Step 3: Cross multiply
    104,546x = 225,796 × 225,796
  4. Step 4: Simplify right side
    104,546x = 50,983,833,616
  5. Step 5: Solve for x
    x = 50,983,833,616/104,546
  6. Step 6: Final answer
    x = 487,668.91

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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.