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Finding the Third Proportional to 168,324 and 359,977

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Solution

The third proportional to 168,324 and 359,977 is: 769,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,324 : 359,977 = 359,977 : x
  2. Step 2: Convert to fraction form
    168,324/359,977 = 359,977/x
  3. Step 3: Cross multiply
    168,324x = 359,977 × 359,977
  4. Step 4: Simplify right side
    168,324x = 129,583,440,529
  5. Step 5: Solve for x
    x = 129,583,440,529/168,324
  6. Step 6: Final answer
    x = 769,845.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.