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Finding the Third Proportional to 148,832.44 and 223,585.31

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Solution

The third proportional to 148,832.44 and 223,585.31 is: 335,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,832.44 : 223,585.31 = 223,585.31 : x
  2. Step 2: Convert to fraction form
    148,832.44/223,585.31 = 223,585.31/x
  3. Step 3: Cross multiply
    148,832.44x = 223,585.31 × 223,585.31
  4. Step 4: Simplify right side
    148,832.44x = 49,990,391,965.72
  5. Step 5: Solve for x
    x = 49,990,391,965.72/148,832.44
  6. Step 6: Final answer
    x = 335,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.