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Finding the Third Proportional to 207,238 and 443,878

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Solution

The third proportional to 207,238 and 443,878 is: 950,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,238 : 443,878 = 443,878 : x
  2. Step 2: Convert to fraction form
    207,238/443,878 = 443,878/x
  3. Step 3: Cross multiply
    207,238x = 443,878 × 443,878
  4. Step 4: Simplify right side
    207,238x = 197,027,678,884
  5. Step 5: Solve for x
    x = 197,027,678,884/207,238
  6. Step 6: Final answer
    x = 950,731.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.