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Finding the Third Proportional to 140,517 and 295,719.75

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Solution

The third proportional to 140,517 and 295,719.75 is: 622,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,517 : 295,719.75 = 295,719.75 : x
  2. Step 2: Convert to fraction form
    140,517/295,719.75 = 295,719.75/x
  3. Step 3: Cross multiply
    140,517x = 295,719.75 × 295,719.75
  4. Step 4: Simplify right side
    140,517x = 87,450,170,540.06
  5. Step 5: Solve for x
    x = 87,450,170,540.06/140,517
  6. Step 6: Final answer
    x = 622,345.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.