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Finding the Third Proportional to 79,689 and 173,397

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Solution

The third proportional to 79,689 and 173,397 is: 377,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,689 : 173,397 = 173,397 : x
  2. Step 2: Convert to fraction form
    79,689/173,397 = 173,397/x
  3. Step 3: Cross multiply
    79,689x = 173,397 × 173,397
  4. Step 4: Simplify right side
    79,689x = 30,066,519,609
  5. Step 5: Solve for x
    x = 30,066,519,609/79,689
  6. Step 6: Final answer
    x = 377,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.