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Finding the Third Proportional to 179,353.50 and 268,071

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Solution

The third proportional to 179,353.50 and 268,071 is: 400,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,353.50 : 268,071 = 268,071 : x
  2. Step 2: Convert to fraction form
    179,353.50/268,071 = 268,071/x
  3. Step 3: Cross multiply
    179,353.50x = 268,071 × 268,071
  4. Step 4: Simplify right side
    179,353.50x = 71,862,061,041
  5. Step 5: Solve for x
    x = 71,862,061,041/179,353.50
  6. Step 6: Final answer
    x = 400,672.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.