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Finding the Third Proportional to 79,342 and 165,260

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Solution

The third proportional to 79,342 and 165,260 is: 344,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,342 : 165,260 = 165,260 : x
  2. Step 2: Convert to fraction form
    79,342/165,260 = 165,260/x
  3. Step 3: Cross multiply
    79,342x = 165,260 × 165,260
  4. Step 4: Simplify right side
    79,342x = 27,310,867,600
  5. Step 5: Solve for x
    x = 27,310,867,600/79,342
  6. Step 6: Final answer
    x = 344,217.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.