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Finding the Third Proportional to 79,558 and 173,318

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Solution

The third proportional to 79,558 and 173,318 is: 377,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,558 : 173,318 = 173,318 : x
  2. Step 2: Convert to fraction form
    79,558/173,318 = 173,318/x
  3. Step 3: Cross multiply
    79,558x = 173,318 × 173,318
  4. Step 4: Simplify right side
    79,558x = 30,039,129,124
  5. Step 5: Solve for x
    x = 30,039,129,124/79,558
  6. Step 6: Final answer
    x = 377,575.22

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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.