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Finding the Third Proportional to 178,285.50 and 262,122.75

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Solution

The third proportional to 178,285.50 and 262,122.75 is: 385,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,285.50 : 262,122.75 = 262,122.75 : x
  2. Step 2: Convert to fraction form
    178,285.50/262,122.75 = 262,122.75/x
  3. Step 3: Cross multiply
    178,285.50x = 262,122.75 × 262,122.75
  4. Step 4: Simplify right side
    178,285.50x = 68,708,336,067.56
  5. Step 5: Solve for x
    x = 68,708,336,067.56/178,285.50
  6. Step 6: Final answer
    x = 385,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.