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Finding the Third Proportional to 148,992.75 and 322,734.38

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Solution

The third proportional to 148,992.75 and 322,734.38 is: 699,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,992.75 : 322,734.38 = 322,734.38 : x
  2. Step 2: Convert to fraction form
    148,992.75/322,734.38 = 322,734.38/x
  3. Step 3: Cross multiply
    148,992.75x = 322,734.38 × 322,734.38
  4. Step 4: Simplify right side
    148,992.75x = 104,157,476,806.64
  5. Step 5: Solve for x
    x = 104,157,476,806.64/148,992.75
  6. Step 6: Final answer
    x = 699,077.48

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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.