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Finding the Third Proportional to 154,340.44 and 231,921.56

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Solution

The third proportional to 154,340.44 and 231,921.56 is: 348,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,340.44 : 231,921.56 = 231,921.56 : x
  2. Step 2: Convert to fraction form
    154,340.44/231,921.56 = 231,921.56/x
  3. Step 3: Cross multiply
    154,340.44x = 231,921.56 × 231,921.56
  4. Step 4: Simplify right side
    154,340.44x = 53,787,611,152.44
  5. Step 5: Solve for x
    x = 53,787,611,152.44/154,340.44
  6. Step 6: Final answer
    x = 348,499.80

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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.