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Finding the Third Proportional to 164,847 and 353,019

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Solution

The third proportional to 164,847 and 353,019 is: 755,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,847 : 353,019 = 353,019 : x
  2. Step 2: Convert to fraction form
    164,847/353,019 = 353,019/x
  3. Step 3: Cross multiply
    164,847x = 353,019 × 353,019
  4. Step 4: Simplify right side
    164,847x = 124,622,414,361
  5. Step 5: Solve for x
    x = 124,622,414,361/164,847
  6. Step 6: Final answer
    x = 755,988.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.