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Finding the Third Proportional to 183,174.75 and 397,237.50

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Solution

The third proportional to 183,174.75 and 397,237.50 is: 861,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,174.75 : 397,237.50 = 397,237.50 : x
  2. Step 2: Convert to fraction form
    183,174.75/397,237.50 = 397,237.50/x
  3. Step 3: Cross multiply
    183,174.75x = 397,237.50 × 397,237.50
  4. Step 4: Simplify right side
    183,174.75x = 157,797,631,406.25
  5. Step 5: Solve for x
    x = 157,797,631,406.25/183,174.75
  6. Step 6: Final answer
    x = 861,459.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.