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Finding the Third Proportional to 164,542 and 356,071

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Solution

The third proportional to 164,542 and 356,071 is: 770,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,542 : 356,071 = 356,071 : x
  2. Step 2: Convert to fraction form
    164,542/356,071 = 356,071/x
  3. Step 3: Cross multiply
    164,542x = 356,071 × 356,071
  4. Step 4: Simplify right side
    164,542x = 126,786,557,041
  5. Step 5: Solve for x
    x = 126,786,557,041/164,542
  6. Step 6: Final answer
    x = 770,542.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.