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Finding the Third Proportional to 181,037 and 253,220

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Solution

The third proportional to 181,037 and 253,220 is: 354,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,037 : 253,220 = 253,220 : x
  2. Step 2: Convert to fraction form
    181,037/253,220 = 253,220/x
  3. Step 3: Cross multiply
    181,037x = 253,220 × 253,220
  4. Step 4: Simplify right side
    181,037x = 64,120,368,400
  5. Step 5: Solve for x
    x = 64,120,368,400/181,037
  6. Step 6: Final answer
    x = 354,183.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.