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Finding the Third Proportional to 154,960 and 327,328

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Solution

The third proportional to 154,960 and 327,328 is: 691,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,960 : 327,328 = 327,328 : x
  2. Step 2: Convert to fraction form
    154,960/327,328 = 327,328/x
  3. Step 3: Cross multiply
    154,960x = 327,328 × 327,328
  4. Step 4: Simplify right side
    154,960x = 107,143,619,584
  5. Step 5: Solve for x
    x = 107,143,619,584/154,960
  6. Step 6: Final answer
    x = 691,427.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.