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Finding the Third Proportional to 173,992 and 370,771

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Solution

The third proportional to 173,992 and 370,771 is: 790,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,992 : 370,771 = 370,771 : x
  2. Step 2: Convert to fraction form
    173,992/370,771 = 370,771/x
  3. Step 3: Cross multiply
    173,992x = 370,771 × 370,771
  4. Step 4: Simplify right side
    173,992x = 137,471,134,441
  5. Step 5: Solve for x
    x = 137,471,134,441/173,992
  6. Step 6: Final answer
    x = 790,100.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.