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Finding the Third Proportional to 159,896 and 343,983

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Solution

The third proportional to 159,896 and 343,983 is: 740,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,896 : 343,983 = 343,983 : x
  2. Step 2: Convert to fraction form
    159,896/343,983 = 343,983/x
  3. Step 3: Cross multiply
    159,896x = 343,983 × 343,983
  4. Step 4: Simplify right side
    159,896x = 118,324,304,289
  5. Step 5: Solve for x
    x = 118,324,304,289/159,896
  6. Step 6: Final answer
    x = 740,007.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.