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Finding the Third Proportional to 205,121.25 and 310,515.75

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Solution

The third proportional to 205,121.25 and 310,515.75 is: 470,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121.25 : 310,515.75 = 310,515.75 : x
  2. Step 2: Convert to fraction form
    205,121.25/310,515.75 = 310,515.75/x
  3. Step 3: Cross multiply
    205,121.25x = 310,515.75 × 310,515.75
  4. Step 4: Simplify right side
    205,121.25x = 96,420,030,998.06
  5. Step 5: Solve for x
    x = 96,420,030,998.06/205,121.25
  6. Step 6: Final answer
    x = 470,063.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.