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Finding the Third Proportional to 204,450.75 and 417,210.75

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Solution

The third proportional to 204,450.75 and 417,210.75 is: 851,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,450.75 : 417,210.75 = 417,210.75 : x
  2. Step 2: Convert to fraction form
    204,450.75/417,210.75 = 417,210.75/x
  3. Step 3: Cross multiply
    204,450.75x = 417,210.75 × 417,210.75
  4. Step 4: Simplify right side
    204,450.75x = 174,064,809,915.56
  5. Step 5: Solve for x
    x = 174,064,809,915.56/204,450.75
  6. Step 6: Final answer
    x = 851,377.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.