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Finding the Third Proportional to 263,096 and 372,288

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Solution

The third proportional to 263,096 and 372,288 is: 526,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,096 : 372,288 = 372,288 : x
  2. Step 2: Convert to fraction form
    263,096/372,288 = 372,288/x
  3. Step 3: Cross multiply
    263,096x = 372,288 × 372,288
  4. Step 4: Simplify right side
    263,096x = 138,598,354,944
  5. Step 5: Solve for x
    x = 138,598,354,944/263,096
  6. Step 6: Final answer
    x = 526,797.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.