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Finding the Third Proportional to 205,929 and 445,169

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Solution

The third proportional to 205,929 and 445,169 is: 962,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,929 : 445,169 = 445,169 : x
  2. Step 2: Convert to fraction form
    205,929/445,169 = 445,169/x
  3. Step 3: Cross multiply
    205,929x = 445,169 × 445,169
  4. Step 4: Simplify right side
    205,929x = 198,175,438,561
  5. Step 5: Solve for x
    x = 198,175,438,561/205,929
  6. Step 6: Final answer
    x = 962,348.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.