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Finding the Third Proportional to 204,816.38 and 313,459.88

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Solution

The third proportional to 204,816.38 and 313,459.88 is: 479,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.38 : 313,459.88 = 313,459.88 : x
  2. Step 2: Convert to fraction form
    204,816.38/313,459.88 = 313,459.88/x
  3. Step 3: Cross multiply
    204,816.38x = 313,459.88 × 313,459.88
  4. Step 4: Simplify right side
    204,816.38x = 98,257,093,235.02
  5. Step 5: Solve for x
    x = 98,257,093,235.02/204,816.38
  6. Step 6: Final answer
    x = 479,732.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.