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Finding the Third Proportional to 150,616 and 327,464

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Solution

The third proportional to 150,616 and 327,464 is: 711,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616 : 327,464 = 327,464 : x
  2. Step 2: Convert to fraction form
    150,616/327,464 = 327,464/x
  3. Step 3: Cross multiply
    150,616x = 327,464 × 327,464
  4. Step 4: Simplify right side
    150,616x = 107,232,671,296
  5. Step 5: Solve for x
    x = 107,232,671,296/150,616
  6. Step 6: Final answer
    x = 711,960.69

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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.