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Finding the Third Proportional to 172,704.75 and 266,439.75

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Solution

The third proportional to 172,704.75 and 266,439.75 is: 411,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,704.75 : 266,439.75 = 266,439.75 : x
  2. Step 2: Convert to fraction form
    172,704.75/266,439.75 = 266,439.75/x
  3. Step 3: Cross multiply
    172,704.75x = 266,439.75 × 266,439.75
  4. Step 4: Simplify right side
    172,704.75x = 70,990,140,380.06
  5. Step 5: Solve for x
    x = 70,990,140,380.06/172,704.75
  6. Step 6: Final answer
    x = 411,049.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.