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Finding the Third Proportional to 159,049.41 and 336,506.06

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Solution

The third proportional to 159,049.41 and 336,506.06 is: 711,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,049.41 : 336,506.06 = 336,506.06 : x
  2. Step 2: Convert to fraction form
    159,049.41/336,506.06 = 336,506.06/x
  3. Step 3: Cross multiply
    159,049.41x = 336,506.06 × 336,506.06
  4. Step 4: Simplify right side
    159,049.41x = 113,236,330,099.25
  5. Step 5: Solve for x
    x = 113,236,330,099.25/159,049.41
  6. Step 6: Final answer
    x = 711,956.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.