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Finding the Third Proportional to 175,338 and 383,481

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Solution

The third proportional to 175,338 and 383,481 is: 838,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,338 : 383,481 = 383,481 : x
  2. Step 2: Convert to fraction form
    175,338/383,481 = 383,481/x
  3. Step 3: Cross multiply
    175,338x = 383,481 × 383,481
  4. Step 4: Simplify right side
    175,338x = 147,057,677,361
  5. Step 5: Solve for x
    x = 147,057,677,361/175,338
  6. Step 6: Final answer
    x = 838,709.68

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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.