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Finding the Third Proportional to 227,769.19 and 353,591.16

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Solution

The third proportional to 227,769.19 and 353,591.16 is: 548,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,769.19 : 353,591.16 = 353,591.16 : x
  2. Step 2: Convert to fraction form
    227,769.19/353,591.16 = 353,591.16/x
  3. Step 3: Cross multiply
    227,769.19x = 353,591.16 × 353,591.16
  4. Step 4: Simplify right side
    227,769.19x = 125,026,705,778.21
  5. Step 5: Solve for x
    x = 125,026,705,778.21/227,769.19
  6. Step 6: Final answer
    x = 548,918.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.