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Finding the Third Proportional to 79,674 and 173,394

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Solution

The third proportional to 79,674 and 173,394 is: 377,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,674 : 173,394 = 173,394 : x
  2. Step 2: Convert to fraction form
    79,674/173,394 = 173,394/x
  3. Step 3: Cross multiply
    79,674x = 173,394 × 173,394
  4. Step 4: Simplify right side
    79,674x = 30,065,479,236
  5. Step 5: Solve for x
    x = 30,065,479,236/79,674
  6. Step 6: Final answer
    x = 377,356.22

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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.