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Finding the Third Proportional to 79,454 and 165,380

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Solution

The third proportional to 79,454 and 165,380 is: 344,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,454 : 165,380 = 165,380 : x
  2. Step 2: Convert to fraction form
    79,454/165,380 = 165,380/x
  3. Step 3: Cross multiply
    79,454x = 165,380 × 165,380
  4. Step 4: Simplify right side
    79,454x = 27,350,544,400
  5. Step 5: Solve for x
    x = 27,350,544,400/79,454
  6. Step 6: Final answer
    x = 344,231.18

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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.