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Finding the Third Proportional to 237,812 and 326,098

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Solution

The third proportional to 237,812 and 326,098 is: 447,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,812 : 326,098 = 326,098 : x
  2. Step 2: Convert to fraction form
    237,812/326,098 = 326,098/x
  3. Step 3: Cross multiply
    237,812x = 326,098 × 326,098
  4. Step 4: Simplify right side
    237,812x = 106,339,905,604
  5. Step 5: Solve for x
    x = 106,339,905,604/237,812
  6. Step 6: Final answer
    x = 447,159.54

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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.