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Finding the Third Proportional to 148,093.31 and 223,448.63

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Solution

The third proportional to 148,093.31 and 223,448.63 is: 337,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,093.31 : 223,448.63 = 223,448.63 : x
  2. Step 2: Convert to fraction form
    148,093.31/223,448.63 = 223,448.63/x
  3. Step 3: Cross multiply
    148,093.31x = 223,448.63 × 223,448.63
  4. Step 4: Simplify right side
    148,093.31x = 49,929,288,014.39
  5. Step 5: Solve for x
    x = 49,929,288,014.39/148,093.31
  6. Step 6: Final answer
    x = 337,147.49

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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.