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Finding the Third Proportional to 104,319.75 and 225,269.25

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Solution

The third proportional to 104,319.75 and 225,269.25 is: 486,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,319.75 : 225,269.25 = 225,269.25 : x
  2. Step 2: Convert to fraction form
    104,319.75/225,269.25 = 225,269.25/x
  3. Step 3: Cross multiply
    104,319.75x = 225,269.25 × 225,269.25
  4. Step 4: Simplify right side
    104,319.75x = 50,746,234,995.56
  5. Step 5: Solve for x
    x = 50,746,234,995.56/104,319.75
  6. Step 6: Final answer
    x = 486,448.97

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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.