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Finding the Third Proportional to 168,496 and 356,320

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Solution

The third proportional to 168,496 and 356,320 is: 753,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,496 : 356,320 = 356,320 : x
  2. Step 2: Convert to fraction form
    168,496/356,320 = 356,320/x
  3. Step 3: Cross multiply
    168,496x = 356,320 × 356,320
  4. Step 4: Simplify right side
    168,496x = 126,963,942,400
  5. Step 5: Solve for x
    x = 126,963,942,400/168,496
  6. Step 6: Final answer
    x = 753,513.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.