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Finding the Third Proportional to 79,399 and 174,350

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Solution

The third proportional to 79,399 and 174,350 is: 382,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,399 : 174,350 = 174,350 : x
  2. Step 2: Convert to fraction form
    79,399/174,350 = 174,350/x
  3. Step 3: Cross multiply
    79,399x = 174,350 × 174,350
  4. Step 4: Simplify right side
    79,399x = 30,397,922,500
  5. Step 5: Solve for x
    x = 30,397,922,500/79,399
  6. Step 6: Final answer
    x = 382,850.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.