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Finding the Third Proportional to 148,286 and 326,092

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Solution

The third proportional to 148,286 and 326,092 is: 717,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,286 : 326,092 = 326,092 : x
  2. Step 2: Convert to fraction form
    148,286/326,092 = 326,092/x
  3. Step 3: Cross multiply
    148,286x = 326,092 × 326,092
  4. Step 4: Simplify right side
    148,286x = 106,335,992,464
  5. Step 5: Solve for x
    x = 106,335,992,464/148,286
  6. Step 6: Final answer
    x = 717,100.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.