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Finding the Third Proportional to 219,951 and 329,922

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Solution

The third proportional to 219,951 and 329,922 is: 494,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951 : 329,922 = 329,922 : x
  2. Step 2: Convert to fraction form
    219,951/329,922 = 329,922/x
  3. Step 3: Cross multiply
    219,951x = 329,922 × 329,922
  4. Step 4: Simplify right side
    219,951x = 108,848,526,084
  5. Step 5: Solve for x
    x = 108,848,526,084/219,951
  6. Step 6: Final answer
    x = 494,876.25

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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.