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Finding the Third Proportional to 79,340 and 171,744

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Solution

The third proportional to 79,340 and 171,744 is: 371,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,340 : 171,744 = 171,744 : x
  2. Step 2: Convert to fraction form
    79,340/171,744 = 171,744/x
  3. Step 3: Cross multiply
    79,340x = 171,744 × 171,744
  4. Step 4: Simplify right side
    79,340x = 29,496,001,536
  5. Step 5: Solve for x
    x = 29,496,001,536/79,340
  6. Step 6: Final answer
    x = 371,767.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.