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Finding the Third Proportional to 205,618.50 and 416,886.75

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Solution

The third proportional to 205,618.50 and 416,886.75 is: 845,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,618.50 : 416,886.75 = 416,886.75 : x
  2. Step 2: Convert to fraction form
    205,618.50/416,886.75 = 416,886.75/x
  3. Step 3: Cross multiply
    205,618.50x = 416,886.75 × 416,886.75
  4. Step 4: Simplify right side
    205,618.50x = 173,794,562,325.56
  5. Step 5: Solve for x
    x = 173,794,562,325.56/205,618.50
  6. Step 6: Final answer
    x = 845,228.24

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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.