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Finding the Third Proportional to 79,790 and 170,244

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Solution

The third proportional to 79,790 and 170,244 is: 363,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,790 : 170,244 = 170,244 : x
  2. Step 2: Convert to fraction form
    79,790/170,244 = 170,244/x
  3. Step 3: Cross multiply
    79,790x = 170,244 × 170,244
  4. Step 4: Simplify right side
    79,790x = 28,983,019,536
  5. Step 5: Solve for x
    x = 28,983,019,536/79,790
  6. Step 6: Final answer
    x = 363,241.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.