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Finding the Third Proportional to 117,741.75 and 257,353.50

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Solution

The third proportional to 117,741.75 and 257,353.50 is: 562,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,741.75 : 257,353.50 = 257,353.50 : x
  2. Step 2: Convert to fraction form
    117,741.75/257,353.50 = 257,353.50/x
  3. Step 3: Cross multiply
    117,741.75x = 257,353.50 × 257,353.50
  4. Step 4: Simplify right side
    117,741.75x = 66,230,823,962.25
  5. Step 5: Solve for x
    x = 66,230,823,962.25/117,741.75
  6. Step 6: Final answer
    x = 562,509.25

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