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Finding the Third Proportional to 79,069 and 170,228

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Solution

The third proportional to 79,069 and 170,228 is: 366,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,069 : 170,228 = 170,228 : x
  2. Step 2: Convert to fraction form
    79,069/170,228 = 170,228/x
  3. Step 3: Cross multiply
    79,069x = 170,228 × 170,228
  4. Step 4: Simplify right side
    79,069x = 28,977,571,984
  5. Step 5: Solve for x
    x = 28,977,571,984/79,069
  6. Step 6: Final answer
    x = 366,484.61

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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.