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Finding the Third Proportional to 117,020.25 and 239,577.75

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Solution

The third proportional to 117,020.25 and 239,577.75 is: 490,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,020.25 : 239,577.75 = 239,577.75 : x
  2. Step 2: Convert to fraction form
    117,020.25/239,577.75 = 239,577.75/x
  3. Step 3: Cross multiply
    117,020.25x = 239,577.75 × 239,577.75
  4. Step 4: Simplify right side
    117,020.25x = 57,397,498,295.06
  5. Step 5: Solve for x
    x = 57,397,498,295.06/117,020.25
  6. Step 6: Final answer
    x = 490,492.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.