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Finding the Third Proportional to 204,226.31 and 317,251.69

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Solution

The third proportional to 204,226.31 and 317,251.69 is: 492,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,226.31 : 317,251.69 = 317,251.69 : x
  2. Step 2: Convert to fraction form
    204,226.31/317,251.69 = 317,251.69/x
  3. Step 3: Cross multiply
    204,226.31x = 317,251.69 × 317,251.69
  4. Step 4: Simplify right side
    204,226.31x = 100,648,633,221.60
  5. Step 5: Solve for x
    x = 100,648,633,221.60/204,226.31
  6. Step 6: Final answer
    x = 492,828.92

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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.