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Finding the Third Proportional to 168,912 and 371,358

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Solution

The third proportional to 168,912 and 371,358 is: 816,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,912 : 371,358 = 371,358 : x
  2. Step 2: Convert to fraction form
    168,912/371,358 = 371,358/x
  3. Step 3: Cross multiply
    168,912x = 371,358 × 371,358
  4. Step 4: Simplify right side
    168,912x = 137,906,764,164
  5. Step 5: Solve for x
    x = 137,906,764,164/168,912
  6. Step 6: Final answer
    x = 816,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.