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Finding the Third Proportional to 161,616 and 329,832

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Solution

The third proportional to 161,616 and 329,832 is: 673,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,616 : 329,832 = 329,832 : x
  2. Step 2: Convert to fraction form
    161,616/329,832 = 329,832/x
  3. Step 3: Cross multiply
    161,616x = 329,832 × 329,832
  4. Step 4: Simplify right side
    161,616x = 108,789,148,224
  5. Step 5: Solve for x
    x = 108,789,148,224/161,616
  6. Step 6: Final answer
    x = 673,133.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.