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Finding the Third Proportional to 163,069 and 350,251

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Solution

The third proportional to 163,069 and 350,251 is: 752,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,069 : 350,251 = 350,251 : x
  2. Step 2: Convert to fraction form
    163,069/350,251 = 350,251/x
  3. Step 3: Cross multiply
    163,069x = 350,251 × 350,251
  4. Step 4: Simplify right side
    163,069x = 122,675,763,001
  5. Step 5: Solve for x
    x = 122,675,763,001/163,069
  6. Step 6: Final answer
    x = 752,293.59

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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.