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Finding the Third Proportional to 151,992 and 330,741

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Solution

The third proportional to 151,992 and 330,741 is: 719,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,992 : 330,741 = 330,741 : x
  2. Step 2: Convert to fraction form
    151,992/330,741 = 330,741/x
  3. Step 3: Cross multiply
    151,992x = 330,741 × 330,741
  4. Step 4: Simplify right side
    151,992x = 109,389,609,081
  5. Step 5: Solve for x
    x = 109,389,609,081/151,992
  6. Step 6: Final answer
    x = 719,706.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.