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Finding the Third Proportional to 154,194.75 and 224,728.88

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Solution

The third proportional to 154,194.75 and 224,728.88 is: 327,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194.75 : 224,728.88 = 224,728.88 : x
  2. Step 2: Convert to fraction form
    154,194.75/224,728.88 = 224,728.88/x
  3. Step 3: Cross multiply
    154,194.75x = 224,728.88 × 224,728.88
  4. Step 4: Simplify right side
    154,194.75x = 50,503,067,258.77
  5. Step 5: Solve for x
    x = 50,503,067,258.77/154,194.75
  6. Step 6: Final answer
    x = 327,527.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.