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Finding the Third Proportional to 212,403.75 and 296,973.75

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Solution

The third proportional to 212,403.75 and 296,973.75 is: 415,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,403.75 : 296,973.75 = 296,973.75 : x
  2. Step 2: Convert to fraction form
    212,403.75/296,973.75 = 296,973.75/x
  3. Step 3: Cross multiply
    212,403.75x = 296,973.75 × 296,973.75
  4. Step 4: Simplify right side
    212,403.75x = 88,193,408,189.06
  5. Step 5: Solve for x
    x = 88,193,408,189.06/212,403.75
  6. Step 6: Final answer
    x = 415,215.87

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