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Finding the Third Proportional to 148,983 and 324,741

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Solution

The third proportional to 148,983 and 324,741 is: 707,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,983 : 324,741 = 324,741 : x
  2. Step 2: Convert to fraction form
    148,983/324,741 = 324,741/x
  3. Step 3: Cross multiply
    148,983x = 324,741 × 324,741
  4. Step 4: Simplify right side
    148,983x = 105,456,717,081
  5. Step 5: Solve for x
    x = 105,456,717,081/148,983
  6. Step 6: Final answer
    x = 707,843.96

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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.