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Finding the Third Proportional to 168,914 and 371,056

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Solution

The third proportional to 168,914 and 371,056 is: 815,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,914 : 371,056 = 371,056 : x
  2. Step 2: Convert to fraction form
    168,914/371,056 = 371,056/x
  3. Step 3: Cross multiply
    168,914x = 371,056 × 371,056
  4. Step 4: Simplify right side
    168,914x = 137,682,555,136
  5. Step 5: Solve for x
    x = 137,682,555,136/168,914
  6. Step 6: Final answer
    x = 815,104.46

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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.