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Finding the Third Proportional to 104,054.25 and 224,305.88

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Solution

The third proportional to 104,054.25 and 224,305.88 is: 483,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,054.25 : 224,305.88 = 224,305.88 : x
  2. Step 2: Convert to fraction form
    104,054.25/224,305.88 = 224,305.88/x
  3. Step 3: Cross multiply
    104,054.25x = 224,305.88 × 224,305.88
  4. Step 4: Simplify right side
    104,054.25x = 50,313,125,559.52
  5. Step 5: Solve for x
    x = 50,313,125,559.52/104,054.25
  6. Step 6: Final answer
    x = 483,527.83

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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.