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Finding the Third Proportional to 217,228.50 and 335,694.38

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Solution

The third proportional to 217,228.50 and 335,694.38 is: 518,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,228.50 : 335,694.38 = 335,694.38 : x
  2. Step 2: Convert to fraction form
    217,228.50/335,694.38 = 335,694.38/x
  3. Step 3: Cross multiply
    217,228.50x = 335,694.38 × 335,694.38
  4. Step 4: Simplify right side
    217,228.50x = 112,690,713,406.64
  5. Step 5: Solve for x
    x = 112,690,713,406.64/217,228.50
  6. Step 6: Final answer
    x = 518,765.79

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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.