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Finding the Third Proportional to 150,906 and 327,813

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Solution

The third proportional to 150,906 and 327,813 is: 712,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906 : 327,813 = 327,813 : x
  2. Step 2: Convert to fraction form
    150,906/327,813 = 327,813/x
  3. Step 3: Cross multiply
    150,906x = 327,813 × 327,813
  4. Step 4: Simplify right side
    150,906x = 107,461,362,969
  5. Step 5: Solve for x
    x = 107,461,362,969/150,906
  6. Step 6: Final answer
    x = 712,107.95

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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.