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Finding the Third Proportional to 182,251 and 256,535

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Solution

The third proportional to 182,251 and 256,535 is: 361,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,251 : 256,535 = 256,535 : x
  2. Step 2: Convert to fraction form
    182,251/256,535 = 256,535/x
  3. Step 3: Cross multiply
    182,251x = 256,535 × 256,535
  4. Step 4: Simplify right side
    182,251x = 65,810,206,225
  5. Step 5: Solve for x
    x = 65,810,206,225/182,251
  6. Step 6: Final answer
    x = 361,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.