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Finding the Third Proportional to 168,966 and 245,511

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Solution

The third proportional to 168,966 and 245,511 is: 356,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,966 : 245,511 = 245,511 : x
  2. Step 2: Convert to fraction form
    168,966/245,511 = 245,511/x
  3. Step 3: Cross multiply
    168,966x = 245,511 × 245,511
  4. Step 4: Simplify right side
    168,966x = 60,275,651,121
  5. Step 5: Solve for x
    x = 60,275,651,121/168,966
  6. Step 6: Final answer
    x = 356,732.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.