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Finding the Third Proportional to 205,072 and 446,048

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Solution

The third proportional to 205,072 and 446,048 is: 970,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072 : 446,048 = 446,048 : x
  2. Step 2: Convert to fraction form
    205,072/446,048 = 446,048/x
  3. Step 3: Cross multiply
    205,072x = 446,048 × 446,048
  4. Step 4: Simplify right side
    205,072x = 198,958,818,304
  5. Step 5: Solve for x
    x = 198,958,818,304/205,072
  6. Step 6: Final answer
    x = 970,190.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.