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Finding the Third Proportional to 183,525.75 and 269,223.75

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Solution

The third proportional to 183,525.75 and 269,223.75 is: 394,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,525.75 : 269,223.75 = 269,223.75 : x
  2. Step 2: Convert to fraction form
    183,525.75/269,223.75 = 269,223.75/x
  3. Step 3: Cross multiply
    183,525.75x = 269,223.75 × 269,223.75
  4. Step 4: Simplify right side
    183,525.75x = 72,481,427,564.06
  5. Step 5: Solve for x
    x = 72,481,427,564.06/183,525.75
  6. Step 6: Final answer
    x = 394,938.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.