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Finding the Third Proportional to 237,944 and 326,266

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Solution

The third proportional to 237,944 and 326,266 is: 447,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,944 : 326,266 = 326,266 : x
  2. Step 2: Convert to fraction form
    237,944/326,266 = 326,266/x
  3. Step 3: Cross multiply
    237,944x = 326,266 × 326,266
  4. Step 4: Simplify right side
    237,944x = 106,449,502,756
  5. Step 5: Solve for x
    x = 106,449,502,756/237,944
  6. Step 6: Final answer
    x = 447,372.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.