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Finding the Third Proportional to 79,407 and 170,325

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Solution

The third proportional to 79,407 and 170,325 is: 365,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,407 : 170,325 = 170,325 : x
  2. Step 2: Convert to fraction form
    79,407/170,325 = 170,325/x
  3. Step 3: Cross multiply
    79,407x = 170,325 × 170,325
  4. Step 4: Simplify right side
    79,407x = 29,010,605,625
  5. Step 5: Solve for x
    x = 29,010,605,625/79,407
  6. Step 6: Final answer
    x = 365,340.66

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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.