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Finding the Third Proportional to 148,448.25 and 223,941.38

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Solution

The third proportional to 148,448.25 and 223,941.38 is: 337,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,448.25 : 223,941.38 = 223,941.38 : x
  2. Step 2: Convert to fraction form
    148,448.25/223,941.38 = 223,941.38/x
  3. Step 3: Cross multiply
    148,448.25x = 223,941.38 × 223,941.38
  4. Step 4: Simplify right side
    148,448.25x = 50,149,739,436.89
  5. Step 5: Solve for x
    x = 50,149,739,436.89/148,448.25
  6. Step 6: Final answer
    x = 337,826.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.