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Finding the Third Proportional to 177,679 and 383,806

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Solution

The third proportional to 177,679 and 383,806 is: 829,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,679 : 383,806 = 383,806 : x
  2. Step 2: Convert to fraction form
    177,679/383,806 = 383,806/x
  3. Step 3: Cross multiply
    177,679x = 383,806 × 383,806
  4. Step 4: Simplify right side
    177,679x = 147,307,045,636
  5. Step 5: Solve for x
    x = 147,307,045,636/177,679
  6. Step 6: Final answer
    x = 829,062.78

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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.