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Finding the Third Proportional to 207,142 and 445,994

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Solution

The third proportional to 207,142 and 445,994 is: 960,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,142 : 445,994 = 445,994 : x
  2. Step 2: Convert to fraction form
    207,142/445,994 = 445,994/x
  3. Step 3: Cross multiply
    207,142x = 445,994 × 445,994
  4. Step 4: Simplify right side
    207,142x = 198,910,648,036
  5. Step 5: Solve for x
    x = 198,910,648,036/207,142
  6. Step 6: Final answer
    x = 960,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.