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Finding the Third Proportional to 79,684 and 173,858

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Solution

The third proportional to 79,684 and 173,858 is: 379,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,684 : 173,858 = 173,858 : x
  2. Step 2: Convert to fraction form
    79,684/173,858 = 173,858/x
  3. Step 3: Cross multiply
    79,684x = 173,858 × 173,858
  4. Step 4: Simplify right side
    79,684x = 30,226,604,164
  5. Step 5: Solve for x
    x = 30,226,604,164/79,684
  6. Step 6: Final answer
    x = 379,330.91

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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.