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Finding the Third Proportional to 150,606 and 327,447

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Solution

The third proportional to 150,606 and 327,447 is: 711,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,606 : 327,447 = 327,447 : x
  2. Step 2: Convert to fraction form
    150,606/327,447 = 327,447/x
  3. Step 3: Cross multiply
    150,606x = 327,447 × 327,447
  4. Step 4: Simplify right side
    150,606x = 107,221,537,809
  5. Step 5: Solve for x
    x = 107,221,537,809/150,606
  6. Step 6: Final answer
    x = 711,934.04

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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.