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Finding the Third Proportional to 151,237 and 327,098

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Solution

The third proportional to 151,237 and 327,098 is: 707,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,237 : 327,098 = 327,098 : x
  2. Step 2: Convert to fraction form
    151,237/327,098 = 327,098/x
  3. Step 3: Cross multiply
    151,237x = 327,098 × 327,098
  4. Step 4: Simplify right side
    151,237x = 106,993,101,604
  5. Step 5: Solve for x
    x = 106,993,101,604/151,237
  6. Step 6: Final answer
    x = 707,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.