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Finding the Third Proportional to 159,897 and 343,995

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Solution

The third proportional to 159,897 and 343,995 is: 740,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897 : 343,995 = 343,995 : x
  2. Step 2: Convert to fraction form
    159,897/343,995 = 343,995/x
  3. Step 3: Cross multiply
    159,897x = 343,995 × 343,995
  4. Step 4: Simplify right side
    159,897x = 118,332,560,025
  5. Step 5: Solve for x
    x = 118,332,560,025/159,897
  6. Step 6: Final answer
    x = 740,054.91

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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.