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Finding the Third Proportional to 163,675 and 353,171

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Solution

The third proportional to 163,675 and 353,171 is: 762,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,675 : 353,171 = 353,171 : x
  2. Step 2: Convert to fraction form
    163,675/353,171 = 353,171/x
  3. Step 3: Cross multiply
    163,675x = 353,171 × 353,171
  4. Step 4: Simplify right side
    163,675x = 124,729,755,241
  5. Step 5: Solve for x
    x = 124,729,755,241/163,675
  6. Step 6: Final answer
    x = 762,057.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.