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Finding the Third Proportional to 219,744 and 329,554

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Solution

The third proportional to 219,744 and 329,554 is: 494,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 329,554 = 329,554 : x
  2. Step 2: Convert to fraction form
    219,744/329,554 = 329,554/x
  3. Step 3: Cross multiply
    219,744x = 329,554 × 329,554
  4. Step 4: Simplify right side
    219,744x = 108,605,838,916
  5. Step 5: Solve for x
    x = 108,605,838,916/219,744
  6. Step 6: Final answer
    x = 494,238.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.