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Finding the Third Proportional to 79,401 and 170,313

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Solution

The third proportional to 79,401 and 170,313 is: 365,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,401 : 170,313 = 170,313 : x
  2. Step 2: Convert to fraction form
    79,401/170,313 = 170,313/x
  3. Step 3: Cross multiply
    79,401x = 170,313 × 170,313
  4. Step 4: Simplify right side
    79,401x = 29,006,517,969
  5. Step 5: Solve for x
    x = 29,006,517,969/79,401
  6. Step 6: Final answer
    x = 365,316.78

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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.