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Finding the Third Proportional to 150,642 and 327,522

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Solution

The third proportional to 150,642 and 327,522 is: 712,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642 : 327,522 = 327,522 : x
  2. Step 2: Convert to fraction form
    150,642/327,522 = 327,522/x
  3. Step 3: Cross multiply
    150,642x = 327,522 × 327,522
  4. Step 4: Simplify right side
    150,642x = 107,270,660,484
  5. Step 5: Solve for x
    x = 107,270,660,484/150,642
  6. Step 6: Final answer
    x = 712,089.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.