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Finding the Third Proportional to 174,821 and 383,338

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Solution

The third proportional to 174,821 and 383,338 is: 840,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,821 : 383,338 = 383,338 : x
  2. Step 2: Convert to fraction form
    174,821/383,338 = 383,338/x
  3. Step 3: Cross multiply
    174,821x = 383,338 × 383,338
  4. Step 4: Simplify right side
    174,821x = 146,948,022,244
  5. Step 5: Solve for x
    x = 146,948,022,244/174,821
  6. Step 6: Final answer
    x = 840,562.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.