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Finding the Third Proportional to 79,458 and 165,450

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Solution

The third proportional to 79,458 and 165,450 is: 344,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,458 : 165,450 = 165,450 : x
  2. Step 2: Convert to fraction form
    79,458/165,450 = 165,450/x
  3. Step 3: Cross multiply
    79,458x = 165,450 × 165,450
  4. Step 4: Simplify right side
    79,458x = 27,373,702,500
  5. Step 5: Solve for x
    x = 27,373,702,500/79,458
  6. Step 6: Final answer
    x = 344,505.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.