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Finding the Third Proportional to 127,831.50 and 263,857.50

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Solution

The third proportional to 127,831.50 and 263,857.50 is: 544,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,831.50 : 263,857.50 = 263,857.50 : x
  2. Step 2: Convert to fraction form
    127,831.50/263,857.50 = 263,857.50/x
  3. Step 3: Cross multiply
    127,831.50x = 263,857.50 × 263,857.50
  4. Step 4: Simplify right side
    127,831.50x = 69,620,780,306.25
  5. Step 5: Solve for x
    x = 69,620,780,306.25/127,831.50
  6. Step 6: Final answer
    x = 544,629.30

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.