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Finding the Third Proportional to 173,016 and 371,912

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Solution

The third proportional to 173,016 and 371,912 is: 799,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,016 : 371,912 = 371,912 : x
  2. Step 2: Convert to fraction form
    173,016/371,912 = 371,912/x
  3. Step 3: Cross multiply
    173,016x = 371,912 × 371,912
  4. Step 4: Simplify right side
    173,016x = 138,318,535,744
  5. Step 5: Solve for x
    x = 138,318,535,744/173,016
  6. Step 6: Final answer
    x = 799,455.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.