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Finding the Third Proportional to 177,512 and 383,458

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Solution

The third proportional to 177,512 and 383,458 is: 828,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,512 : 383,458 = 383,458 : x
  2. Step 2: Convert to fraction form
    177,512/383,458 = 383,458/x
  3. Step 3: Cross multiply
    177,512x = 383,458 × 383,458
  4. Step 4: Simplify right side
    177,512x = 147,040,037,764
  5. Step 5: Solve for x
    x = 147,040,037,764/177,512
  6. Step 6: Final answer
    x = 828,338.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.