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Finding the Third Proportional to 148,589.44 and 223,587.84

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Solution

The third proportional to 148,589.44 and 223,587.84 is: 336,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,589.44 : 223,587.84 = 223,587.84 : x
  2. Step 2: Convert to fraction form
    148,589.44/223,587.84 = 223,587.84/x
  3. Step 3: Cross multiply
    148,589.44x = 223,587.84 × 223,587.84
  4. Step 4: Simplify right side
    148,589.44x = 49,991,523,872.77
  5. Step 5: Solve for x
    x = 49,991,523,872.77/148,589.44
  6. Step 6: Final answer
    x = 336,440.63

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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.