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Finding the Third Proportional to 251,016.50 and 377,072.75

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Solution

The third proportional to 251,016.50 and 377,072.75 is: 566,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,016.50 : 377,072.75 = 377,072.75 : x
  2. Step 2: Convert to fraction form
    251,016.50/377,072.75 = 377,072.75/x
  3. Step 3: Cross multiply
    251,016.50x = 377,072.75 × 377,072.75
  4. Step 4: Simplify right side
    251,016.50x = 142,183,858,792.56
  5. Step 5: Solve for x
    x = 142,183,858,792.56/251,016.50
  6. Step 6: Final answer
    x = 566,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.