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Finding the Third Proportional to 205,441.31 and 416,532.38

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Solution

The third proportional to 205,441.31 and 416,532.38 is: 844,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,441.31 : 416,532.38 = 416,532.38 : x
  2. Step 2: Convert to fraction form
    205,441.31/416,532.38 = 416,532.38/x
  3. Step 3: Cross multiply
    205,441.31x = 416,532.38 × 416,532.38
  4. Step 4: Simplify right side
    205,441.31x = 173,499,219,423.14
  5. Step 5: Solve for x
    x = 173,499,219,423.14/205,441.31
  6. Step 6: Final answer
    x = 844,519.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.