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Finding the Third Proportional to 148,628.25 and 225,782.44

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Solution

The third proportional to 148,628.25 and 225,782.44 is: 342,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,628.25 : 225,782.44 = 225,782.44 : x
  2. Step 2: Convert to fraction form
    148,628.25/225,782.44 = 225,782.44/x
  3. Step 3: Cross multiply
    148,628.25x = 225,782.44 × 225,782.44
  4. Step 4: Simplify right side
    148,628.25x = 50,977,709,083.44
  5. Step 5: Solve for x
    x = 50,977,709,083.44/148,628.25
  6. Step 6: Final answer
    x = 342,988.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.