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Finding the Third Proportional to 166,600.13 and 264,660.75

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Solution

The third proportional to 166,600.13 and 264,660.75 is: 420,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,600.13 : 264,660.75 = 264,660.75 : x
  2. Step 2: Convert to fraction form
    166,600.13/264,660.75 = 264,660.75/x
  3. Step 3: Cross multiply
    166,600.13x = 264,660.75 × 264,660.75
  4. Step 4: Simplify right side
    166,600.13x = 70,045,312,590.56
  5. Step 5: Solve for x
    x = 70,045,312,590.56/166,600.13
  6. Step 6: Final answer
    x = 420,439.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.