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Finding the Third Proportional to 217,240.31 and 454,329.84

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Solution

The third proportional to 217,240.31 and 454,329.84 is: 950,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,240.31 : 454,329.84 = 454,329.84 : x
  2. Step 2: Convert to fraction form
    217,240.31/454,329.84 = 454,329.84/x
  3. Step 3: Cross multiply
    217,240.31x = 454,329.84 × 454,329.84
  4. Step 4: Simplify right side
    217,240.31x = 206,415,606,921.90
  5. Step 5: Solve for x
    x = 206,415,606,921.90/217,240.31
  6. Step 6: Final answer
    x = 950,171.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.